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Simplifying (8x + 9)(3x + -7) = 0 Reorder the terms: (9 + 8x)(3x + -7) = 0 Reorder the terms: (9 + 8x)(-7 + 3x) = 0 Multiply (9 + 8x) * (-7 + 3x) (9(-7 + 3x) + 8x * (-7 + 3x)) = 0 ((-7 * 9 + 3x * 9) + 8x * (-7 + 3x)) = 0 ((-63 + 27x) + 8x * (-7 + 3x)) = 0 (-63 + 27x + (-7 * 8x + 3x * 8x)) = 0 (-63 + 27x + (-56x + 24x2)) = 0 Combine like terms: 27x + -56x = -29x (-63 + -29x + 24x2) = 0 Solving -63 + -29x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -8x)(7 + -3x) = 0Subproblem 1
Set the factor '(-9 + -8x)' equal to zero and attempt to solve: Simplifying -9 + -8x = 0 Solving -9 + -8x = 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 + -8x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 0 + 9 -8x = 0 + 9 Combine like terms: 0 + 9 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-1.125, 2.333333333}
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