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Simplifying (-1x + 5)(7x + -14) = 0 Reorder the terms: (5 + -1x)(7x + -14) = 0 Reorder the terms: (5 + -1x)(-14 + 7x) = 0 Multiply (5 + -1x) * (-14 + 7x) (5(-14 + 7x) + -1x * (-14 + 7x)) = 0 ((-14 * 5 + 7x * 5) + -1x * (-14 + 7x)) = 0 ((-70 + 35x) + -1x * (-14 + 7x)) = 0 (-70 + 35x + (-14 * -1x + 7x * -1x)) = 0 (-70 + 35x + (14x + -7x2)) = 0 Combine like terms: 35x + 14x = 49x (-70 + 49x + -7x2) = 0 Solving -70 + 49x + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(-10 + 7x + -1x2) = 0 Factor a trinomial. 7((-5 + x)(2 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 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 = {5, 2}
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