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Simplifying 5x(5x + 8) = 33 Reorder the terms: 5x(8 + 5x) = 33 (8 * 5x + 5x * 5x) = 33 (40x + 25x2) = 33 Solving 40x + 25x2 = 33 Solving for variable 'x'. Reorder the terms: -33 + 40x + 25x2 = 33 + -33 Combine like terms: 33 + -33 = 0 -33 + 40x + 25x2 = 0 Factor a trinomial. (-11 + -5x)(3 + -5x) = 0Subproblem 1
Set the factor '(-11 + -5x)' equal to zero and attempt to solve: Simplifying -11 + -5x = 0 Solving -11 + -5x = 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 + -5x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = 0 + 11 -5x = 0 + 11 Combine like terms: 0 + 11 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-2.2, 0.6}
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