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Simplifying (1 + x)(5x + -7) = 0 Reorder the terms: (1 + x)(-7 + 5x) = 0 Multiply (1 + x) * (-7 + 5x) (1(-7 + 5x) + x(-7 + 5x)) = 0 ((-7 * 1 + 5x * 1) + x(-7 + 5x)) = 0 ((-7 + 5x) + x(-7 + 5x)) = 0 (-7 + 5x + (-7 * x + 5x * x)) = 0 (-7 + 5x + (-7x + 5x2)) = 0 Combine like terms: 5x + -7x = -2x (-7 + -2x + 5x2) = 0 Solving -7 + -2x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(7 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-1, 1.4}
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