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Simplifying 9x(x + -7) + -4(x + -7) = 0 Reorder the terms: 9x(-7 + x) + -4(x + -7) = 0 (-7 * 9x + x * 9x) + -4(x + -7) = 0 (-63x + 9x2) + -4(x + -7) = 0 Reorder the terms: -63x + 9x2 + -4(-7 + x) = 0 -63x + 9x2 + (-7 * -4 + x * -4) = 0 -63x + 9x2 + (28 + -4x) = 0 Reorder the terms: 28 + -63x + -4x + 9x2 = 0 Combine like terms: -63x + -4x = -67x 28 + -67x + 9x2 = 0 Solving 28 + -67x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -9x)(7 + -1x) = 0Subproblem 1
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 = 0.4444444444Subproblem 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 = {0.4444444444, 7}
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