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Simplifying (7x + -2)(x + 5) = 0 Reorder the terms: (-2 + 7x)(x + 5) = 0 Reorder the terms: (-2 + 7x)(5 + x) = 0 Multiply (-2 + 7x) * (5 + x) (-2(5 + x) + 7x * (5 + x)) = 0 ((5 * -2 + x * -2) + 7x * (5 + x)) = 0 ((-10 + -2x) + 7x * (5 + x)) = 0 (-10 + -2x + (5 * 7x + x * 7x)) = 0 (-10 + -2x + (35x + 7x2)) = 0 Combine like terms: -2x + 35x = 33x (-10 + 33x + 7x2) = 0 Solving -10 + 33x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(2 + -7x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-5, 0.2857142857}
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