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Simplifying (2x + 5) * 5x = 165 Reorder the terms: (5 + 2x) * 5x = 165 Reorder the terms for easier multiplication: 5x(5 + 2x) = 165 (5 * 5x + 2x * 5x) = 165 (25x + 10x2) = 165 Solving 25x + 10x2 = 165 Solving for variable 'x'. Reorder the terms: -165 + 25x + 10x2 = 165 + -165 Combine like terms: 165 + -165 = 0 -165 + 25x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-33 + 5x + 2x2) = 0 Factor a trinomial. 5((-11 + -2x)(3 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-11 + -2x)' equal to zero and attempt to solve: Simplifying -11 + -2x = 0 Solving -11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 0 + 11 -2x = 0 + 11 Combine like terms: 0 + 11 = 11 -2x = 11 Divide each side by '-2'. x = -5.5 Simplifying x = -5.5Subproblem 2
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 = 3Solution
x = {-5.5, 3}
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