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Simplifying 3x + -1 = 4x2 + -1x + -4 Reorder the terms: -1 + 3x = 4x2 + -1x + -4 Reorder the terms: -1 + 3x = -4 + -1x + 4x2 Solving -1 + 3x = -4 + -1x + 4x2 Solving for variable 'x'. Reorder the terms: -1 + 4 + 3x + x + -4x2 = -4 + -1x + 4x2 + 4 + x + -4x2 Combine like terms: -1 + 4 = 3 3 + 3x + x + -4x2 = -4 + -1x + 4x2 + 4 + x + -4x2 Combine like terms: 3x + x = 4x 3 + 4x + -4x2 = -4 + -1x + 4x2 + 4 + x + -4x2 Reorder the terms: 3 + 4x + -4x2 = -4 + 4 + -1x + x + 4x2 + -4x2 Combine like terms: -4 + 4 = 0 3 + 4x + -4x2 = 0 + -1x + x + 4x2 + -4x2 3 + 4x + -4x2 = -1x + x + 4x2 + -4x2 Combine like terms: -1x + x = 0 3 + 4x + -4x2 = 0 + 4x2 + -4x2 3 + 4x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 3 + 4x + -4x2 = 0 Factor a trinomial. (3 + -2x)(1 + 2x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {1.5, -0.5}
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