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Simplifying (7 + 8x)(9x + 4) = 0 Reorder the terms: (7 + 8x)(4 + 9x) = 0 Multiply (7 + 8x) * (4 + 9x) (7(4 + 9x) + 8x * (4 + 9x)) = 0 ((4 * 7 + 9x * 7) + 8x * (4 + 9x)) = 0 ((28 + 63x) + 8x * (4 + 9x)) = 0 (28 + 63x + (4 * 8x + 9x * 8x)) = 0 (28 + 63x + (32x + 72x2)) = 0 Combine like terms: 63x + 32x = 95x (28 + 95x + 72x2) = 0 Solving 28 + 95x + 72x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 8x)(4 + 9x) = 0Subproblem 1
Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 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 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875Subproblem 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 = {-0.875, -0.4444444444}
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