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Simplifying (2x + 5)(x) = 348 Reorder the terms: (5 + 2x)(x) = 348 Reorder the terms for easier multiplication: x(5 + 2x) = 348 (5 * x + 2x * x) = 348 (5x + 2x2) = 348 Solving 5x + 2x2 = 348 Solving for variable 'x'. Reorder the terms: -348 + 5x + 2x2 = 348 + -348 Combine like terms: 348 + -348 = 0 -348 + 5x + 2x2 = 0 Factor a trinomial. (-29 + -2x)(12 + -1x) = 0Subproblem 1
Set the factor '(-29 + -2x)' equal to zero and attempt to solve: Simplifying -29 + -2x = 0 Solving -29 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -2x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -2x = 0 + 29 -2x = 0 + 29 Combine like terms: 0 + 29 = 29 -2x = 29 Divide each side by '-2'. x = -14.5 Simplifying x = -14.5Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-14.5, 12}
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