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Simplifying 6x2 + -3x = -1x2 + 13x + -4 Reorder the terms: -3x + 6x2 = -1x2 + 13x + -4 Reorder the terms: -3x + 6x2 = -4 + 13x + -1x2 Solving -3x + 6x2 = -4 + 13x + -1x2 Solving for variable 'x'. Reorder the terms: 4 + -3x + -13x + 6x2 + x2 = -4 + 13x + -1x2 + 4 + -13x + x2 Combine like terms: -3x + -13x = -16x 4 + -16x + 6x2 + x2 = -4 + 13x + -1x2 + 4 + -13x + x2 Combine like terms: 6x2 + x2 = 7x2 4 + -16x + 7x2 = -4 + 13x + -1x2 + 4 + -13x + x2 Reorder the terms: 4 + -16x + 7x2 = -4 + 4 + 13x + -13x + -1x2 + x2 Combine like terms: -4 + 4 = 0 4 + -16x + 7x2 = 0 + 13x + -13x + -1x2 + x2 4 + -16x + 7x2 = 13x + -13x + -1x2 + x2 Combine like terms: 13x + -13x = 0 4 + -16x + 7x2 = 0 + -1x2 + x2 4 + -16x + 7x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4 + -16x + 7x2 = 0 Factor a trinomial. (2 + -7x)(2 + -1x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.2857142857, 2}
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