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Simplifying (x + 1)(5x + -6) = 0 Reorder the terms: (1 + x)(5x + -6) = 0 Reorder the terms: (1 + x)(-6 + 5x) = 0 Multiply (1 + x) * (-6 + 5x) (1(-6 + 5x) + x(-6 + 5x)) = 0 ((-6 * 1 + 5x * 1) + x(-6 + 5x)) = 0 ((-6 + 5x) + x(-6 + 5x)) = 0 (-6 + 5x + (-6 * x + 5x * x)) = 0 (-6 + 5x + (-6x + 5x2)) = 0 Combine like terms: 5x + -6x = -1x (-6 + -1x + 5x2) = 0 Solving -6 + -1x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(6 + -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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-1, 1.2}
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