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Simplifying (9x + -7)(8x + 7) = 0 Reorder the terms: (-7 + 9x)(8x + 7) = 0 Reorder the terms: (-7 + 9x)(7 + 8x) = 0 Multiply (-7 + 9x) * (7 + 8x) (-7(7 + 8x) + 9x * (7 + 8x)) = 0 ((7 * -7 + 8x * -7) + 9x * (7 + 8x)) = 0 ((-49 + -56x) + 9x * (7 + 8x)) = 0 (-49 + -56x + (7 * 9x + 8x * 9x)) = 0 (-49 + -56x + (63x + 72x2)) = 0 Combine like terms: -56x + 63x = 7x (-49 + 7x + 72x2) = 0 Solving -49 + 7x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -8x)(7 + -9x) = 0Subproblem 1
Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {-0.875, 0.7777777778}
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