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Simplifying 10x2 + -6x + 2 = 4x2 + 5x + 4 Reorder the terms: 2 + -6x + 10x2 = 4x2 + 5x + 4 Reorder the terms: 2 + -6x + 10x2 = 4 + 5x + 4x2 Solving 2 + -6x + 10x2 = 4 + 5x + 4x2 Solving for variable 'x'. Reorder the terms: 2 + -4 + -6x + -5x + 10x2 + -4x2 = 4 + 5x + 4x2 + -4 + -5x + -4x2 Combine like terms: 2 + -4 = -2 -2 + -6x + -5x + 10x2 + -4x2 = 4 + 5x + 4x2 + -4 + -5x + -4x2 Combine like terms: -6x + -5x = -11x -2 + -11x + 10x2 + -4x2 = 4 + 5x + 4x2 + -4 + -5x + -4x2 Combine like terms: 10x2 + -4x2 = 6x2 -2 + -11x + 6x2 = 4 + 5x + 4x2 + -4 + -5x + -4x2 Reorder the terms: -2 + -11x + 6x2 = 4 + -4 + 5x + -5x + 4x2 + -4x2 Combine like terms: 4 + -4 = 0 -2 + -11x + 6x2 = 0 + 5x + -5x + 4x2 + -4x2 -2 + -11x + 6x2 = 5x + -5x + 4x2 + -4x2 Combine like terms: 5x + -5x = 0 -2 + -11x + 6x2 = 0 + 4x2 + -4x2 -2 + -11x + 6x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -2 + -11x + 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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