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Simplifying 32 = 4x + 15x2 Solving 32 = 4x + 15x2 Solving for variable 'x'. Reorder the terms: 32 + -4x + -15x2 = 4x + -4x + 15x2 + -15x2 Combine like terms: 4x + -4x = 0 32 + -4x + -15x2 = 0 + 15x2 + -15x2 32 + -4x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 32 + -4x + -15x2 = 0 Factor a trinomial. (4 + -3x)(8 + 5x) = 0Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Solution
x = {1.333333333, -1.6}
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