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Simplifying 5x(9x + 4) + -1x(2x + 3) = 0 Reorder the terms: 5x(4 + 9x) + -1x(2x + 3) = 0 (4 * 5x + 9x * 5x) + -1x(2x + 3) = 0 (20x + 45x2) + -1x(2x + 3) = 0 Reorder the terms: 20x + 45x2 + -1x(3 + 2x) = 0 20x + 45x2 + (3 * -1x + 2x * -1x) = 0 20x + 45x2 + (-3x + -2x2) = 0 Reorder the terms: 20x + -3x + 45x2 + -2x2 = 0 Combine like terms: 20x + -3x = 17x 17x + 45x2 + -2x2 = 0 Combine like terms: 45x2 + -2x2 = 43x2 17x + 43x2 = 0 Solving 17x + 43x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(17 + 43x) = 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 '(17 + 43x)' equal to zero and attempt to solve: Simplifying 17 + 43x = 0 Solving 17 + 43x = 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 + 43x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 43x = 0 + -17 43x = 0 + -17 Combine like terms: 0 + -17 = -17 43x = -17 Divide each side by '43'. x = -0.3953488372 Simplifying x = -0.3953488372Solution
x = {0, -0.3953488372}
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