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Simplifying
x + (x + 8)(x + -9) = 0
Reorder the terms:
x + (8 + x)(x + -9) = 0
Reorder the terms:
x + (8 + x)(-9 + x) = 0
Multiply (8 + x) * (-9 + x)
x + (8(-9 + x) + x(-9 + x)) = 0
x + ((-9 * 8 + x * 8) + x(-9 + x)) = 0
x + ((-72 + 8x) + x(-9 + x)) = 0
x + (-72 + 8x + (-9 * x + x * x)) = 0
x + (-72 + 8x + (-9x + x2)) = 0
Combine like terms: 8x + -9x = -1x
x + (-72 + -1x + x2) = 0
Reorder the terms:
-72 + x + -1x + x2 = 0
Combine like terms: x + -1x = 0
-72 + 0 + x2 = 0
-72 + x2 = 0
Solving
-72 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '72' to each side of the equation.
-72 + 72 + x2 = 0 + 72
Combine like terms: -72 + 72 = 0
0 + x2 = 0 + 72
x2 = 0 + 72
Combine like terms: 0 + 72 = 72
x2 = 72
Simplifying
x2 = 72
Take the square root of each side:
x = {-8.485281374, 8.485281374}
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