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Simplifying 5x2 + 6x + 5 = 32 Reorder the terms: 5 + 6x + 5x2 = 32 Solving 5 + 6x + 5x2 = 32 Solving for variable 'x'. Reorder the terms: 5 + -32 + 6x + 5x2 = 32 + -32 Combine like terms: 5 + -32 = -27 -27 + 6x + 5x2 = 32 + -32 Combine like terms: 32 + -32 = 0 -27 + 6x + 5x2 = 0 Factor a trinomial. (-3 + -1x)(9 + -5x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-3, 1.8}
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