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Simplifying 2x(x + 2) + -5x(1 + -3x) = 0 Reorder the terms: 2x(2 + x) + -5x(1 + -3x) = 0 (2 * 2x + x * 2x) + -5x(1 + -3x) = 0 (4x + 2x2) + -5x(1 + -3x) = 0 4x + 2x2 + (1 * -5x + -3x * -5x) = 0 4x + 2x2 + (-5x + 15x2) = 0 Reorder the terms: 4x + -5x + 2x2 + 15x2 = 0 Combine like terms: 4x + -5x = -1x -1x + 2x2 + 15x2 = 0 Combine like terms: 2x2 + 15x2 = 17x2 -1x + 17x2 = 0 Solving -1x + 17x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 17x) = 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 '(-1 + 17x)' equal to zero and attempt to solve: Simplifying -1 + 17x = 0 Solving -1 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 17x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 17x = 0 + 1 17x = 0 + 1 Combine like terms: 0 + 1 = 1 17x = 1 Divide each side by '17'. x = 0.05882352941 Simplifying x = 0.05882352941Solution
x = {0, 0.05882352941}
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