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Simplifying -59x2 + 70x = -90x2 + 29x Reorder the terms: 70x + -59x2 = -90x2 + 29x Reorder the terms: 70x + -59x2 = 29x + -90x2 Solving 70x + -59x2 = 29x + -90x2 Solving for variable 'x'. Reorder the terms: 70x + -29x + -59x2 + 90x2 = 29x + -90x2 + -29x + 90x2 Combine like terms: 70x + -29x = 41x 41x + -59x2 + 90x2 = 29x + -90x2 + -29x + 90x2 Combine like terms: -59x2 + 90x2 = 31x2 41x + 31x2 = 29x + -90x2 + -29x + 90x2 Reorder the terms: 41x + 31x2 = 29x + -29x + -90x2 + 90x2 Combine like terms: 29x + -29x = 0 41x + 31x2 = 0 + -90x2 + 90x2 41x + 31x2 = -90x2 + 90x2 Combine like terms: -90x2 + 90x2 = 0 41x + 31x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(41 + 31x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(41 + 31x)' equal to zero and attempt to solve: Simplifying 41 + 31x = 0 Solving 41 + 31x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 31x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 31x = 0 + -41 31x = 0 + -41 Combine like terms: 0 + -41 = -41 31x = -41 Divide each side by '31'. x = -1.322580645 Simplifying x = -1.322580645Solution
x = {0, -1.322580645}
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