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Simplifying x(2x + 3) = 629 Reorder the terms: x(3 + 2x) = 629 (3 * x + 2x * x) = 629 (3x + 2x2) = 629 Solving 3x + 2x2 = 629 Solving for variable 'x'. Reorder the terms: -629 + 3x + 2x2 = 629 + -629 Combine like terms: 629 + -629 = 0 -629 + 3x + 2x2 = 0 Factor a trinomial. (-37 + -2x)(17 + -1x) = 0Subproblem 1
Set the factor '(-37 + -2x)' equal to zero and attempt to solve: Simplifying -37 + -2x = 0 Solving -37 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -2x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -2x = 0 + 37 -2x = 0 + 37 Combine like terms: 0 + 37 = 37 -2x = 37 Divide each side by '-2'. x = -18.5 Simplifying x = -18.5Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {-18.5, 17}
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