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Simplifying 32 = x(-5x + -26) Reorder the terms: 32 = x(-26 + -5x) 32 = (-26 * x + -5x * x) 32 = (-26x + -5x2) Solving 32 = -26x + -5x2 Solving for variable 'x'. Reorder the terms: 32 + 26x + 5x2 = -26x + 26x + -5x2 + 5x2 Combine like terms: -26x + 26x = 0 32 + 26x + 5x2 = 0 + -5x2 + 5x2 32 + 26x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 32 + 26x + 5x2 = 0 Factor a trinomial. (16 + 5x)(2 + x) = 0Subproblem 1
Set the factor '(16 + 5x)' equal to zero and attempt to solve: Simplifying 16 + 5x = 0 Solving 16 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 0 + -16 5x = 0 + -16 Combine like terms: 0 + -16 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-3.2, -2}
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