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Simplifying (4X2 + 9X) + -1(-9X2 + 2X) = 0 Reorder the terms: (9X + 4X2) + -1(-9X2 + 2X) = 0 Remove parenthesis around (9X + 4X2) 9X + 4X2 + -1(-9X2 + 2X) = 0 Reorder the terms: 9X + 4X2 + -1(2X + -9X2) = 0 9X + 4X2 + (2X * -1 + -9X2 * -1) = 0 9X + 4X2 + (-2X + 9X2) = 0 Reorder the terms: 9X + -2X + 4X2 + 9X2 = 0 Combine like terms: 9X + -2X = 7X 7X + 4X2 + 9X2 = 0 Combine like terms: 4X2 + 9X2 = 13X2 7X + 13X2 = 0 Solving 7X + 13X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(7 + 13X) = 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 '(7 + 13X)' equal to zero and attempt to solve: Simplifying 7 + 13X = 0 Solving 7 + 13X = 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 + 13X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 13X = 0 + -7 13X = 0 + -7 Combine like terms: 0 + -7 = -7 13X = -7 Divide each side by '13'. X = -0.5384615385 Simplifying X = -0.5384615385Solution
X = {0, -0.5384615385}
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