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Simplifying 4x(x + 4) + 3 = x(5 + -2x) Reorder the terms: 4x(4 + x) + 3 = x(5 + -2x) (4 * 4x + x * 4x) + 3 = x(5 + -2x) (16x + 4x2) + 3 = x(5 + -2x) Reorder the terms: 3 + 16x + 4x2 = x(5 + -2x) 3 + 16x + 4x2 = (5 * x + -2x * x) 3 + 16x + 4x2 = (5x + -2x2) Solving 3 + 16x + 4x2 = 5x + -2x2 Solving for variable 'x'. Reorder the terms: 3 + 16x + -5x + 4x2 + 2x2 = 5x + -2x2 + -5x + 2x2 Combine like terms: 16x + -5x = 11x 3 + 11x + 4x2 + 2x2 = 5x + -2x2 + -5x + 2x2 Combine like terms: 4x2 + 2x2 = 6x2 3 + 11x + 6x2 = 5x + -2x2 + -5x + 2x2 Reorder the terms: 3 + 11x + 6x2 = 5x + -5x + -2x2 + 2x2 Combine like terms: 5x + -5x = 0 3 + 11x + 6x2 = 0 + -2x2 + 2x2 3 + 11x + 6x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3 + 11x + 6x2 = 0 Factor a trinomial. (3 + 2x)(1 + 3x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, -0.3333333333}
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