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Simplifying 2x + [5x(-2x + -3x)] = 0 Combine like terms: -2x + -3x = -5x 2x + [5x(-5x)] = 0 Remove parenthesis around (-5x) 2x + [5x * -5x] = 0 Reorder the terms for easier multiplication: 2x + [5 * -5x * x] = 0 Multiply 5 * -5 2x + [-25x * x] = 0 Multiply x * x 2x + [-25x2] = 0 Solving 2x + [-25x2] = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + [-25x]) = 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 + [-25x])' equal to zero and attempt to solve: Simplifying 2 + [-25x] = 0 Solving 2 + [-25x] = 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 + [-25x] = 0 + -2 Combine like terms: 2 + -2 = 0 0 + [-25x] = 0 + -2 [-25x] = 0 + -2 Combine like terms: 0 + -2 = -2 [-25x] = -2 Divide each side by '-25'. x = 0.08 Simplifying x = 0.08Solution
x = {0, 0.08}
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