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Simplifying (8x + 7)(9x + -4) = 0 Reorder the terms: (7 + 8x)(9x + -4) = 0 Reorder the terms: (7 + 8x)(-4 + 9x) = 0 Multiply (7 + 8x) * (-4 + 9x) (7(-4 + 9x) + 8x * (-4 + 9x)) = 0 ((-4 * 7 + 9x * 7) + 8x * (-4 + 9x)) = 0 ((-28 + 63x) + 8x * (-4 + 9x)) = 0 (-28 + 63x + (-4 * 8x + 9x * 8x)) = 0 (-28 + 63x + (-32x + 72x2)) = 0 Combine like terms: 63x + -32x = 31x (-28 + 31x + 72x2) = 0 Solving -28 + 31x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -8x)(4 + -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 '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 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 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Solution
x = {-0.875, 0.4444444444}
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