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Simplifying x2 + 2x + 7 = 6x + 3 Reorder the terms: 7 + 2x + x2 = 6x + 3 Reorder the terms: 7 + 2x + x2 = 3 + 6x Solving 7 + 2x + x2 = 3 + 6x Solving for variable 'x'. Reorder the terms: 7 + -3 + 2x + -6x + x2 = 3 + 6x + -3 + -6x Combine like terms: 7 + -3 = 4 4 + 2x + -6x + x2 = 3 + 6x + -3 + -6x Combine like terms: 2x + -6x = -4x 4 + -4x + x2 = 3 + 6x + -3 + -6x Reorder the terms: 4 + -4x + x2 = 3 + -3 + 6x + -6x Combine like terms: 3 + -3 = 0 4 + -4x + x2 = 0 + 6x + -6x 4 + -4x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 4 + -4x + x2 = 0 Factor a trinomial. (2 + -1x)(2 + -1x) = 0Subproblem 1
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 = 2Subproblem 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 = {2, 2}
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