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Simplifying x(5x + 2) = 24 Reorder the terms: x(2 + 5x) = 24 (2 * x + 5x * x) = 24 (2x + 5x2) = 24 Solving 2x + 5x2 = 24 Solving for variable 'x'. Reorder the terms: -24 + 2x + 5x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 2x + 5x2 = 0 Factor a trinomial. (-12 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve: Simplifying -12 + -5x = 0 Solving -12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 0 + 12 -5x = 0 + 12 Combine like terms: 0 + 12 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.4, 2}
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