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Simplifying 5x(2x + 2) + 3x(3x + -4) = 0 Reorder the terms: 5x(2 + 2x) + 3x(3x + -4) = 0 (2 * 5x + 2x * 5x) + 3x(3x + -4) = 0 (10x + 10x2) + 3x(3x + -4) = 0 Reorder the terms: 10x + 10x2 + 3x(-4 + 3x) = 0 10x + 10x2 + (-4 * 3x + 3x * 3x) = 0 10x + 10x2 + (-12x + 9x2) = 0 Reorder the terms: 10x + -12x + 10x2 + 9x2 = 0 Combine like terms: 10x + -12x = -2x -2x + 10x2 + 9x2 = 0 Combine like terms: 10x2 + 9x2 = 19x2 -2x + 19x2 = 0 Solving -2x + 19x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 19x) = 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 '(-2 + 19x)' equal to zero and attempt to solve: Simplifying -2 + 19x = 0 Solving -2 + 19x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 19x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 19x = 0 + 2 19x = 0 + 2 Combine like terms: 0 + 2 = 2 19x = 2 Divide each side by '19'. x = 0.1052631579 Simplifying x = 0.1052631579Solution
x = {0, 0.1052631579}
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