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Simplifying 15x + 3 = 20x2 + 4x Reorder the terms: 3 + 15x = 20x2 + 4x Reorder the terms: 3 + 15x = 4x + 20x2 Solving 3 + 15x = 4x + 20x2 Solving for variable 'x'. Combine like terms: 15x + -4x = 11x 3 + 11x + -20x2 = 4x + 20x2 + -4x + -20x2 Reorder the terms: 3 + 11x + -20x2 = 4x + -4x + 20x2 + -20x2 Combine like terms: 4x + -4x = 0 3 + 11x + -20x2 = 0 + 20x2 + -20x2 3 + 11x + -20x2 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 3 + 11x + -20x2 = 0 Factor a trinomial. (3 + -4x)(1 + 5x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {0.75, -0.2}
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