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Simplifying 3x2 + -21x = -2x2 + -5x + -3 Reorder the terms: -21x + 3x2 = -2x2 + -5x + -3 Reorder the terms: -21x + 3x2 = -3 + -5x + -2x2 Solving -21x + 3x2 = -3 + -5x + -2x2 Solving for variable 'x'. Reorder the terms: 3 + -21x + 5x + 3x2 + 2x2 = -3 + -5x + -2x2 + 3 + 5x + 2x2 Combine like terms: -21x + 5x = -16x 3 + -16x + 3x2 + 2x2 = -3 + -5x + -2x2 + 3 + 5x + 2x2 Combine like terms: 3x2 + 2x2 = 5x2 3 + -16x + 5x2 = -3 + -5x + -2x2 + 3 + 5x + 2x2 Reorder the terms: 3 + -16x + 5x2 = -3 + 3 + -5x + 5x + -2x2 + 2x2 Combine like terms: -3 + 3 = 0 3 + -16x + 5x2 = 0 + -5x + 5x + -2x2 + 2x2 3 + -16x + 5x2 = -5x + 5x + -2x2 + 2x2 Combine like terms: -5x + 5x = 0 3 + -16x + 5x2 = 0 + -2x2 + 2x2 3 + -16x + 5x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3 + -16x + 5x2 = 0 Factor a trinomial. (1 + -5x)(3 + -1x) = 0Subproblem 1
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 = 0.2Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.2, 3}
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