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Simplifying (4x + -3)(x + 6) = 0 Reorder the terms: (-3 + 4x)(x + 6) = 0 Reorder the terms: (-3 + 4x)(6 + x) = 0 Multiply (-3 + 4x) * (6 + x) (-3(6 + x) + 4x * (6 + x)) = 0 ((6 * -3 + x * -3) + 4x * (6 + x)) = 0 ((-18 + -3x) + 4x * (6 + x)) = 0 (-18 + -3x + (6 * 4x + x * 4x)) = 0 (-18 + -3x + (24x + 4x2)) = 0 Combine like terms: -3x + 24x = 21x (-18 + 21x + 4x2) = 0 Solving -18 + 21x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(3 + -4x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-6, 0.75}
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