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Simplifying (9x + -8)(7x + 4) = 0 Reorder the terms: (-8 + 9x)(7x + 4) = 0 Reorder the terms: (-8 + 9x)(4 + 7x) = 0 Multiply (-8 + 9x) * (4 + 7x) (-8(4 + 7x) + 9x * (4 + 7x)) = 0 ((4 * -8 + 7x * -8) + 9x * (4 + 7x)) = 0 ((-32 + -56x) + 9x * (4 + 7x)) = 0 (-32 + -56x + (4 * 9x + 7x * 9x)) = 0 (-32 + -56x + (36x + 63x2)) = 0 Combine like terms: -56x + 36x = -20x (-32 + -20x + 63x2) = 0 Solving -32 + -20x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(8 + -9x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(8 + -9x)' equal to zero and attempt to solve: Simplifying 8 + -9x = 0 Solving 8 + -9x = 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 + -9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = 0 + -8 -9x = 0 + -8 Combine like terms: 0 + -8 = -8 -9x = -8 Divide each side by '-9'. x = 0.8888888889 Simplifying x = 0.8888888889Solution
x = {-0.5714285714, 0.8888888889}
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