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Simplifying 5(x2 + 8x + 16) + -2(x + 4) = 0 Reorder the terms: 5(16 + 8x + x2) + -2(x + 4) = 0 (16 * 5 + 8x * 5 + x2 * 5) + -2(x + 4) = 0 (80 + 40x + 5x2) + -2(x + 4) = 0 Reorder the terms: 80 + 40x + 5x2 + -2(4 + x) = 0 80 + 40x + 5x2 + (4 * -2 + x * -2) = 0 80 + 40x + 5x2 + (-8 + -2x) = 0 Reorder the terms: 80 + -8 + 40x + -2x + 5x2 = 0 Combine like terms: 80 + -8 = 72 72 + 40x + -2x + 5x2 = 0 Combine like terms: 40x + -2x = 38x 72 + 38x + 5x2 = 0 Solving 72 + 38x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(18 + 5x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(18 + 5x)' equal to zero and attempt to solve: Simplifying 18 + 5x = 0 Solving 18 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 5x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = 0 + -18 5x = 0 + -18 Combine like terms: 0 + -18 = -18 5x = -18 Divide each side by '5'. x = -3.6 Simplifying x = -3.6Solution
x = {-4, -3.6}
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