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Simplifying 32x2 + 52x + 5 = -10 Reorder the terms: 5 + 52x + 32x2 = -10 Solving 5 + 52x + 32x2 = -10 Solving for variable 'x'. Reorder the terms: 5 + 10 + 52x + 32x2 = -10 + 10 Combine like terms: 5 + 10 = 15 15 + 52x + 32x2 = -10 + 10 Combine like terms: -10 + 10 = 0 15 + 52x + 32x2 = 0 Factor a trinomial. (5 + 4x)(3 + 8x) = 0Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {-1.25, -0.375}
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