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Simplifying 4x(3x + 5) = x + -5 Reorder the terms: 4x(5 + 3x) = x + -5 (5 * 4x + 3x * 4x) = x + -5 (20x + 12x2) = x + -5 Reorder the terms: 20x + 12x2 = -5 + x Solving 20x + 12x2 = -5 + x Solving for variable 'x'. Reorder the terms: 5 + 20x + -1x + 12x2 = -5 + x + 5 + -1x Combine like terms: 20x + -1x = 19x 5 + 19x + 12x2 = -5 + x + 5 + -1x Reorder the terms: 5 + 19x + 12x2 = -5 + 5 + x + -1x Combine like terms: -5 + 5 = 0 5 + 19x + 12x2 = 0 + x + -1x 5 + 19x + 12x2 = x + -1x Combine like terms: x + -1x = 0 5 + 19x + 12x2 = 0 Factor a trinomial. (5 + 4x)(1 + 3x) = 0Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {-1.25, -0.3333333333}
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