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Simplifying x + 2x(x + 30) = 130 Reorder the terms: x + 2x(30 + x) = 130 x + (30 * 2x + x * 2x) = 130 x + (60x + 2x2) = 130 Combine like terms: x + 60x = 61x 61x + 2x2 = 130 Solving 61x + 2x2 = 130 Solving for variable 'x'. Reorder the terms: -130 + 61x + 2x2 = 130 + -130 Combine like terms: 130 + -130 = 0 -130 + 61x + 2x2 = 0 Factor a trinomial. (-65 + -2x)(2 + -1x) = 0Subproblem 1
Set the factor '(-65 + -2x)' equal to zero and attempt to solve: Simplifying -65 + -2x = 0 Solving -65 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -2x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -2x = 0 + 65 -2x = 0 + 65 Combine like terms: 0 + 65 = 65 -2x = 65 Divide each side by '-2'. x = -32.5 Simplifying x = -32.5Subproblem 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 = {-32.5, 2}
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