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Simplifying (9x + -4)(7x + 7) = 0 Reorder the terms: (-4 + 9x)(7x + 7) = 0 Reorder the terms: (-4 + 9x)(7 + 7x) = 0 Multiply (-4 + 9x) * (7 + 7x) (-4(7 + 7x) + 9x * (7 + 7x)) = 0 ((7 * -4 + 7x * -4) + 9x * (7 + 7x)) = 0 ((-28 + -28x) + 9x * (7 + 7x)) = 0 (-28 + -28x + (7 * 9x + 7x * 9x)) = 0 (-28 + -28x + (63x + 63x2)) = 0 Combine like terms: -28x + 63x = 35x (-28 + 35x + 63x2) = 0 Solving -28 + 35x + 63x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(-4 + 5x + 9x2) = 0 Factor a trinomial. 7((-1 + -1x)(4 + -9x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
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 = 0.4444444444Solution
x = {-1, 0.4444444444}
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