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