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Simplifying (3 + 2x) * x = 495 Reorder the terms for easier multiplication: x(3 + 2x) = 495 (3 * x + 2x * x) = 495 (3x + 2x2) = 495 Solving 3x + 2x2 = 495 Solving for variable 'x'. Reorder the terms: -495 + 3x + 2x2 = 495 + -495 Combine like terms: 495 + -495 = 0 -495 + 3x + 2x2 = 0 Factor a trinomial. (-33 + -2x)(15 + -1x) = 0Subproblem 1
Set the factor '(-33 + -2x)' equal to zero and attempt to solve: Simplifying -33 + -2x = 0 Solving -33 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -2x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -2x = 0 + 33 -2x = 0 + 33 Combine like terms: 0 + 33 = 33 -2x = 33 Divide each side by '-2'. x = -16.5 Simplifying x = -16.5Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-16.5, 15}
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