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Simplifying (4x + -15)(x + 1) = 0 Reorder the terms: (-15 + 4x)(x + 1) = 0 Reorder the terms: (-15 + 4x)(1 + x) = 0 Multiply (-15 + 4x) * (1 + x) (-15(1 + x) + 4x * (1 + x)) = 0 ((1 * -15 + x * -15) + 4x * (1 + x)) = 0 ((-15 + -15x) + 4x * (1 + x)) = 0 (-15 + -15x + (1 * 4x + x * 4x)) = 0 (-15 + -15x + (4x + 4x2)) = 0 Combine like terms: -15x + 4x = -11x (-15 + -11x + 4x2) = 0 Solving -15 + -11x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(15 + -4x) = 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 '(15 + -4x)' equal to zero and attempt to solve: Simplifying 15 + -4x = 0 Solving 15 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = 0 + -15 -4x = 0 + -15 Combine like terms: 0 + -15 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75Solution
x = {-1, 3.75}
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