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Simplifying x2 + -43 = 7x + 1 Reorder the terms: -43 + x2 = 7x + 1 Reorder the terms: -43 + x2 = 1 + 7x Solving -43 + x2 = 1 + 7x Solving for variable 'x'. Reorder the terms: -43 + -1 + -7x + x2 = 1 + 7x + -1 + -7x Combine like terms: -43 + -1 = -44 -44 + -7x + x2 = 1 + 7x + -1 + -7x Reorder the terms: -44 + -7x + x2 = 1 + -1 + 7x + -7x Combine like terms: 1 + -1 = 0 -44 + -7x + x2 = 0 + 7x + -7x -44 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -44 + -7x + x2 = 0 Factor a trinomial. (-4 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-4, 11}
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