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Simplifying x2 + 7x = 2x2 + 6 Reorder the terms: 7x + x2 = 2x2 + 6 Reorder the terms: 7x + x2 = 6 + 2x2 Solving 7x + x2 = 6 + 2x2 Solving for variable 'x'. Reorder the terms: -6 + 7x + x2 + -2x2 = 6 + 2x2 + -6 + -2x2 Combine like terms: x2 + -2x2 = -1x2 -6 + 7x + -1x2 = 6 + 2x2 + -6 + -2x2 Reorder the terms: -6 + 7x + -1x2 = 6 + -6 + 2x2 + -2x2 Combine like terms: 6 + -6 = 0 -6 + 7x + -1x2 = 0 + 2x2 + -2x2 -6 + 7x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + 7x + -1x2 = 0 Factor a trinomial. (-6 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
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 = 1Solution
x = {6, 1}
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