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Simplifying x(2x + -3) = 1710 Reorder the terms: x(-3 + 2x) = 1710 (-3 * x + 2x * x) = 1710 (-3x + 2x2) = 1710 Solving -3x + 2x2 = 1710 Solving for variable 'x'. Reorder the terms: -1710 + -3x + 2x2 = 1710 + -1710 Combine like terms: 1710 + -1710 = 0 -1710 + -3x + 2x2 = 0 Factor a trinomial. (-57 + -2x)(30 + -1x) = 0Subproblem 1
Set the factor '(-57 + -2x)' equal to zero and attempt to solve: Simplifying -57 + -2x = 0 Solving -57 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -2x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -2x = 0 + 57 -2x = 0 + 57 Combine like terms: 0 + 57 = 57 -2x = 57 Divide each side by '-2'. x = -28.5 Simplifying x = -28.5Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {-28.5, 30}
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