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