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Simplifying 3 + -5x(3x + x) = 5x + 3 Combine like terms: 3x + x = 4x 3 + -5x(4x) = 5x + 3 Remove parenthesis around (4x) 3 + -5x * 4x = 5x + 3 Reorder the terms for easier multiplication: 3 + -5 * 4x * x = 5x + 3 Multiply -5 * 4 3 + -20x * x = 5x + 3 Multiply x * x 3 + -20x2 = 5x + 3 Reorder the terms: 3 + -20x2 = 3 + 5x Add '-3' to each side of the equation. 3 + -3 + -20x2 = 3 + -3 + 5x Combine like terms: 3 + -3 = 0 0 + -20x2 = 3 + -3 + 5x -20x2 = 3 + -3 + 5x Combine like terms: 3 + -3 = 0 -20x2 = 0 + 5x -20x2 = 5x Solving -20x2 = 5x Solving for variable 'x'. Reorder the terms: -5x + -20x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -5x + -20x2 = 0 Factor out the Greatest Common Factor (GCF), '-5x'. -5x(1 + 4x) = 0 Ignore the factor -5.Subproblem 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 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {0, -0.25}
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