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Simplifying 5x(2 + -3x) + -1x(3x + -1) = 0 (2 * 5x + -3x * 5x) + -1x(3x + -1) = 0 (10x + -15x2) + -1x(3x + -1) = 0 Reorder the terms: 10x + -15x2 + -1x(-1 + 3x) = 0 10x + -15x2 + (-1 * -1x + 3x * -1x) = 0 10x + -15x2 + (1x + -3x2) = 0 Reorder the terms: 10x + 1x + -15x2 + -3x2 = 0 Combine like terms: 10x + 1x = 11x 11x + -15x2 + -3x2 = 0 Combine like terms: -15x2 + -3x2 = -18x2 11x + -18x2 = 0 Solving 11x + -18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + -18x) = 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 '(11 + -18x)' equal to zero and attempt to solve: Simplifying 11 + -18x = 0 Solving 11 + -18x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -18x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -18x = 0 + -11 -18x = 0 + -11 Combine like terms: 0 + -11 = -11 -18x = -11 Divide each side by '-18'. x = 0.6111111111 Simplifying x = 0.6111111111Solution
x = {0, 0.6111111111}
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