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Simplifying (5x2 + 2x) + -1(3x + -5x) = 0 Reorder the terms: (2x + 5x2) + -1(3x + -5x) = 0 Remove parenthesis around (2x + 5x2) 2x + 5x2 + -1(3x + -5x) = 0 Combine like terms: 3x + -5x = -2x 2x + 5x2 + -1(-2x) = 0 Remove parenthesis around (-2x) 2x + 5x2 + -1 * -2x = 0 Multiply -1 * -2 2x + 5x2 + 2x = 0 Reorder the terms: 2x + 2x + 5x2 = 0 Combine like terms: 2x + 2x = 4x 4x + 5x2 = 0 Solving 4x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4 + 5x) = 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 '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {0, -0.8}
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