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Simplifying 12x2 + 28x + 19 = -3x2 + -6x + 4 Reorder the terms: 19 + 28x + 12x2 = -3x2 + -6x + 4 Reorder the terms: 19 + 28x + 12x2 = 4 + -6x + -3x2 Solving 19 + 28x + 12x2 = 4 + -6x + -3x2 Solving for variable 'x'. Reorder the terms: 19 + -4 + 28x + 6x + 12x2 + 3x2 = 4 + -6x + -3x2 + -4 + 6x + 3x2 Combine like terms: 19 + -4 = 15 15 + 28x + 6x + 12x2 + 3x2 = 4 + -6x + -3x2 + -4 + 6x + 3x2 Combine like terms: 28x + 6x = 34x 15 + 34x + 12x2 + 3x2 = 4 + -6x + -3x2 + -4 + 6x + 3x2 Combine like terms: 12x2 + 3x2 = 15x2 15 + 34x + 15x2 = 4 + -6x + -3x2 + -4 + 6x + 3x2 Reorder the terms: 15 + 34x + 15x2 = 4 + -4 + -6x + 6x + -3x2 + 3x2 Combine like terms: 4 + -4 = 0 15 + 34x + 15x2 = 0 + -6x + 6x + -3x2 + 3x2 15 + 34x + 15x2 = -6x + 6x + -3x2 + 3x2 Combine like terms: -6x + 6x = 0 15 + 34x + 15x2 = 0 + -3x2 + 3x2 15 + 34x + 15x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 15 + 34x + 15x2 = 0 Factor a trinomial. (5 + 3x)(3 + 5x) = 0Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-1.666666667, -0.6}
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