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Simplifying (8x + 9)(7x + -3) = 0 Reorder the terms: (9 + 8x)(7x + -3) = 0 Reorder the terms: (9 + 8x)(-3 + 7x) = 0 Multiply (9 + 8x) * (-3 + 7x) (9(-3 + 7x) + 8x * (-3 + 7x)) = 0 ((-3 * 9 + 7x * 9) + 8x * (-3 + 7x)) = 0 ((-27 + 63x) + 8x * (-3 + 7x)) = 0 (-27 + 63x + (-3 * 8x + 7x * 8x)) = 0 (-27 + 63x + (-24x + 56x2)) = 0 Combine like terms: 63x + -24x = 39x (-27 + 39x + 56x2) = 0 Solving -27 + 39x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -8x)(3 + -7x) = 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 '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {-1.125, 0.4285714286}
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