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Simplifying (4x + -9)(x + 7) = 0 Reorder the terms: (-9 + 4x)(x + 7) = 0 Reorder the terms: (-9 + 4x)(7 + x) = 0 Multiply (-9 + 4x) * (7 + x) (-9(7 + x) + 4x * (7 + x)) = 0 ((7 * -9 + x * -9) + 4x * (7 + x)) = 0 ((-63 + -9x) + 4x * (7 + x)) = 0 (-63 + -9x + (7 * 4x + x * 4x)) = 0 (-63 + -9x + (28x + 4x2)) = 0 Combine like terms: -9x + 28x = 19x (-63 + 19x + 4x2) = 0 Solving -63 + 19x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(9 + -4x) = 0Subproblem 1
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 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-7, 2.25}
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