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Simplifying (4 + -1x)(3x + 5) = 0 Reorder the terms: (4 + -1x)(5 + 3x) = 0 Multiply (4 + -1x) * (5 + 3x) (4(5 + 3x) + -1x * (5 + 3x)) = 0 ((5 * 4 + 3x * 4) + -1x * (5 + 3x)) = 0 ((20 + 12x) + -1x * (5 + 3x)) = 0 (20 + 12x + (5 * -1x + 3x * -1x)) = 0 (20 + 12x + (-5x + -3x2)) = 0 Combine like terms: 12x + -5x = 7x (20 + 7x + -3x2) = 0 Solving 20 + 7x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(5 + 3x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {4, -1.666666667}
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