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Simplifying 2x2 + -20x = -4x2 + -7x + -2 Reorder the terms: -20x + 2x2 = -4x2 + -7x + -2 Reorder the terms: -20x + 2x2 = -2 + -7x + -4x2 Solving -20x + 2x2 = -2 + -7x + -4x2 Solving for variable 'x'. Reorder the terms: 2 + -20x + 7x + 2x2 + 4x2 = -2 + -7x + -4x2 + 2 + 7x + 4x2 Combine like terms: -20x + 7x = -13x 2 + -13x + 2x2 + 4x2 = -2 + -7x + -4x2 + 2 + 7x + 4x2 Combine like terms: 2x2 + 4x2 = 6x2 2 + -13x + 6x2 = -2 + -7x + -4x2 + 2 + 7x + 4x2 Reorder the terms: 2 + -13x + 6x2 = -2 + 2 + -7x + 7x + -4x2 + 4x2 Combine like terms: -2 + 2 = 0 2 + -13x + 6x2 = 0 + -7x + 7x + -4x2 + 4x2 2 + -13x + 6x2 = -7x + 7x + -4x2 + 4x2 Combine like terms: -7x + 7x = 0 2 + -13x + 6x2 = 0 + -4x2 + 4x2 2 + -13x + 6x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 2 + -13x + 6x2 = 0 Factor a trinomial. (1 + -6x)(2 + -1x) = 0Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Subproblem 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 = {0.1666666667, 2}
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