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Simplifying x2 + 2x + 1 + -6x2 + x + 1 = 0 Reorder the terms: 1 + 1 + 2x + x + x2 + -6x2 = 0 Combine like terms: 1 + 1 = 2 2 + 2x + x + x2 + -6x2 = 0 Combine like terms: 2x + x = 3x 2 + 3x + x2 + -6x2 = 0 Combine like terms: x2 + -6x2 = -5x2 2 + 3x + -5x2 = 0 Solving 2 + 3x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(2 + 5x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {1, -0.4}
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