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Simplifying (x + -1)(5x + 4) + -2 = 0 Reorder the terms: (-1 + x)(5x + 4) + -2 = 0 Reorder the terms: (-1 + x)(4 + 5x) + -2 = 0 Multiply (-1 + x) * (4 + 5x) (-1(4 + 5x) + x(4 + 5x)) + -2 = 0 ((4 * -1 + 5x * -1) + x(4 + 5x)) + -2 = 0 ((-4 + -5x) + x(4 + 5x)) + -2 = 0 (-4 + -5x + (4 * x + 5x * x)) + -2 = 0 (-4 + -5x + (4x + 5x2)) + -2 = 0 Combine like terms: -5x + 4x = -1x (-4 + -1x + 5x2) + -2 = 0 Reorder the terms: -4 + -2 + -1x + 5x2 = 0 Combine like terms: -4 + -2 = -6 -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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