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Simplifying (8x + -4)(9x + 1) = 0 Reorder the terms: (-4 + 8x)(9x + 1) = 0 Reorder the terms: (-4 + 8x)(1 + 9x) = 0 Multiply (-4 + 8x) * (1 + 9x) (-4(1 + 9x) + 8x * (1 + 9x)) = 0 ((1 * -4 + 9x * -4) + 8x * (1 + 9x)) = 0 ((-4 + -36x) + 8x * (1 + 9x)) = 0 (-4 + -36x + (1 * 8x + 9x * 8x)) = 0 (-4 + -36x + (8x + 72x2)) = 0 Combine like terms: -36x + 8x = -28x (-4 + -28x + 72x2) = 0 Solving -4 + -28x + 72x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -7x + 18x2) = 0 Factor a trinomial. 4((-1 + -9x)(1 + -2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -9x)' equal to zero and attempt to solve: Simplifying -1 + -9x = 0 Solving -1 + -9x = 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 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.1111111111, 0.5}
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