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Simplifying 3x2 + 10x + 11 = 2x2 + 6x + 7 Reorder the terms: 11 + 10x + 3x2 = 2x2 + 6x + 7 Reorder the terms: 11 + 10x + 3x2 = 7 + 6x + 2x2 Solving 11 + 10x + 3x2 = 7 + 6x + 2x2 Solving for variable 'x'. Reorder the terms: 11 + -7 + 10x + -6x + 3x2 + -2x2 = 7 + 6x + 2x2 + -7 + -6x + -2x2 Combine like terms: 11 + -7 = 4 4 + 10x + -6x + 3x2 + -2x2 = 7 + 6x + 2x2 + -7 + -6x + -2x2 Combine like terms: 10x + -6x = 4x 4 + 4x + 3x2 + -2x2 = 7 + 6x + 2x2 + -7 + -6x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 4 + 4x + 1x2 = 7 + 6x + 2x2 + -7 + -6x + -2x2 Reorder the terms: 4 + 4x + 1x2 = 7 + -7 + 6x + -6x + 2x2 + -2x2 Combine like terms: 7 + -7 = 0 4 + 4x + 1x2 = 0 + 6x + -6x + 2x2 + -2x2 4 + 4x + 1x2 = 6x + -6x + 2x2 + -2x2 Combine like terms: 6x + -6x = 0 4 + 4x + 1x2 = 0 + 2x2 + -2x2 4 + 4x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4 + 4x + 1x2 = 0 Factor a trinomial. (2 + x)(2 + x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2, -2}
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