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Simplifying -1x2(13x + 9) + -8x2 + -25x3 = 0 Reorder the terms: -1x2(9 + 13x) + -8x2 + -25x3 = 0 (9 * -1x2 + 13x * -1x2) + -8x2 + -25x3 = 0 (-9x2 + -13x3) + -8x2 + -25x3 = 0 Reorder the terms: -9x2 + -8x2 + -13x3 + -25x3 = 0 Combine like terms: -9x2 + -8x2 = -17x2 -17x2 + -13x3 + -25x3 = 0 Combine like terms: -13x3 + -25x3 = -38x3 -17x2 + -38x3 = 0 Solving -17x2 + -38x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(17 + 38x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(17 + 38x)' equal to zero and attempt to solve: Simplifying 17 + 38x = 0 Solving 17 + 38x = 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 + 38x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 38x = 0 + -17 38x = 0 + -17 Combine like terms: 0 + -17 = -17 38x = -17 Divide each side by '38'. x = -0.4473684211 Simplifying x = -0.4473684211Solution
x = {0, -0.4473684211}
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