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Simplifying -52x2 + -29x + 210 = 0 Reorder the terms: 210 + -29x + -52x2 = 0 Solving 210 + -29x + -52x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -4x)(30 + 13x) = 0Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 2
Set the factor '(30 + 13x)' equal to zero and attempt to solve: Simplifying 30 + 13x = 0 Solving 30 + 13x = 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 + 13x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = 0 + -30 13x = 0 + -30 Combine like terms: 0 + -30 = -30 13x = -30 Divide each side by '13'. x = -2.307692308 Simplifying x = -2.307692308Solution
x = {1.75, -2.307692308}
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