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Solve the equation
Answer
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Graph
$y = - x - 3 \left ( x - 4 \right )$
$y = 4$
$x$Intercept
$\left ( 3 , 0 \right )$
$y$Intercept
$\left ( 0 , 12 \right )$
$x = 2$
$ $ Solve a solution to $ x$
$- x \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) = 4$
$ $ Multiply each term in parentheses by $ - 3$
$- x \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) = 4$
$- x - 3 x \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) = 4$
$ $ Multiply $ - 3 $ and $ - 4$
$- x - 3 x + \color{#FF6800}{ 12 } = 4$
$\color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 12 = 4$
$ $ Calculate between similar terms $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + 12 = 4$
$- 4 x \color{#FF6800}{ + } \color{#FF6800}{ 12 } = 4$
$ $ Move the constant to the right side and change the sign $ $
$- 4 x = 4 \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$- 4 x = \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$ $ Subtract $ 12 $ from $ 4$
$- 4 x = \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
$ $ Change the sign of both sides of the equation $ $
$4 x = 8$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } = \color{#FF6800}{ 8 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 2 }$
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