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Simplifying (x + 7)(x + -100) = 0 Reorder the terms: (7 + x)(x + -100) = 0 Reorder the terms: (7 + x)(-100 + x) = 0 Multiply (7 + x) * (-100 + x) (7(-100 + x) + x(-100 + x)) = 0 ((-100 * 7 + x * 7) + x(-100 + x)) = 0 ((-700 + 7x) + x(-100 + x)) = 0 (-700 + 7x + (-100 * x + x * x)) = 0 (-700 + 7x + (-100x + x2)) = 0 Combine like terms: 7x + -100x = -93x (-700 + -93x + x2) = 0 Solving -700 + -93x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(100 + -1x) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Solution
x = {-7, 100}
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