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Simplifying 2x2 + 4x + -4x2 = 5x2 + -1 + 10x Reorder the terms: 4x + 2x2 + -4x2 = 5x2 + -1 + 10x Combine like terms: 2x2 + -4x2 = -2x2 4x + -2x2 = 5x2 + -1 + 10x Reorder the terms: 4x + -2x2 = -1 + 10x + 5x2 Solving 4x + -2x2 = -1 + 10x + 5x2 Solving for variable 'x'. Reorder the terms: 1 + 4x + -10x + -2x2 + -5x2 = -1 + 10x + 5x2 + 1 + -10x + -5x2 Combine like terms: 4x + -10x = -6x 1 + -6x + -2x2 + -5x2 = -1 + 10x + 5x2 + 1 + -10x + -5x2 Combine like terms: -2x2 + -5x2 = -7x2 1 + -6x + -7x2 = -1 + 10x + 5x2 + 1 + -10x + -5x2 Reorder the terms: 1 + -6x + -7x2 = -1 + 1 + 10x + -10x + 5x2 + -5x2 Combine like terms: -1 + 1 = 0 1 + -6x + -7x2 = 0 + 10x + -10x + 5x2 + -5x2 1 + -6x + -7x2 = 10x + -10x + 5x2 + -5x2 Combine like terms: 10x + -10x = 0 1 + -6x + -7x2 = 0 + 5x2 + -5x2 1 + -6x + -7x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 1 + -6x + -7x2 = 0 Factor a trinomial. (1 + -7x)(1 + x) = 0Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.1428571429, -1}
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