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Simplifying 0 = (7x + 9)(x + -8) Reorder the terms: 0 = (9 + 7x)(x + -8) Reorder the terms: 0 = (9 + 7x)(-8 + x) Multiply (9 + 7x) * (-8 + x) 0 = (9(-8 + x) + 7x * (-8 + x)) 0 = ((-8 * 9 + x * 9) + 7x * (-8 + x)) 0 = ((-72 + 9x) + 7x * (-8 + x)) 0 = (-72 + 9x + (-8 * 7x + x * 7x)) 0 = (-72 + 9x + (-56x + 7x2)) Combine like terms: 9x + -56x = -47x 0 = (-72 + -47x + 7x2) Solving 0 = -72 + -47x + 7x2 Solving for variable 'x'. Combine like terms: 0 + 72 = 72 72 + 47x + -7x2 = -72 + -47x + 7x2 + 72 + 47x + -7x2 Reorder the terms: 72 + 47x + -7x2 = -72 + 72 + -47x + 47x + 7x2 + -7x2 Combine like terms: -72 + 72 = 0 72 + 47x + -7x2 = 0 + -47x + 47x + 7x2 + -7x2 72 + 47x + -7x2 = -47x + 47x + 7x2 + -7x2 Combine like terms: -47x + 47x = 0 72 + 47x + -7x2 = 0 + 7x2 + -7x2 72 + 47x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 72 + 47x + -7x2 = 0 Factor a trinomial. (8 + -1x)(9 + 7x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(9 + 7x)' equal to zero and attempt to solve: Simplifying 9 + 7x = 0 Solving 9 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 0 + -9 7x = 0 + -9 Combine like terms: 0 + -9 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286Solution
x = {8, -1.285714286}
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