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Simplifying (5x + -9)(x + 7) * x = 0 Reorder the terms: (-9 + 5x)(x + 7) * x = 0 Reorder the terms: (-9 + 5x)(7 + x) * x = 0 Reorder the terms for easier multiplication: x(-9 + 5x)(7 + x) = 0 Multiply (-9 + 5x) * (7 + x) x(-9(7 + x) + 5x * (7 + x)) = 0 x((7 * -9 + x * -9) + 5x * (7 + x)) = 0 x((-63 + -9x) + 5x * (7 + x)) = 0 x(-63 + -9x + (7 * 5x + x * 5x)) = 0 x(-63 + -9x + (35x + 5x2)) = 0 Combine like terms: -9x + 35x = 26x x(-63 + 26x + 5x2) = 0 (-63 * x + 26x * x + 5x2 * x) = 0 (-63x + 26x2 + 5x3) = 0 Solving -63x + 26x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-63 + 26x + 5x2) = 0 Factor a trinomial. x((-7 + -1x)(9 + -5x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 3
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {0, -7, 1.8}
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