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Simplifying 6x2 + 15x + -3 = 3x2 + -5x + -15 Reorder the terms: -3 + 15x + 6x2 = 3x2 + -5x + -15 Reorder the terms: -3 + 15x + 6x2 = -15 + -5x + 3x2 Solving -3 + 15x + 6x2 = -15 + -5x + 3x2 Solving for variable 'x'. Reorder the terms: -3 + 15 + 15x + 5x + 6x2 + -3x2 = -15 + -5x + 3x2 + 15 + 5x + -3x2 Combine like terms: -3 + 15 = 12 12 + 15x + 5x + 6x2 + -3x2 = -15 + -5x + 3x2 + 15 + 5x + -3x2 Combine like terms: 15x + 5x = 20x 12 + 20x + 6x2 + -3x2 = -15 + -5x + 3x2 + 15 + 5x + -3x2 Combine like terms: 6x2 + -3x2 = 3x2 12 + 20x + 3x2 = -15 + -5x + 3x2 + 15 + 5x + -3x2 Reorder the terms: 12 + 20x + 3x2 = -15 + 15 + -5x + 5x + 3x2 + -3x2 Combine like terms: -15 + 15 = 0 12 + 20x + 3x2 = 0 + -5x + 5x + 3x2 + -3x2 12 + 20x + 3x2 = -5x + 5x + 3x2 + -3x2 Combine like terms: -5x + 5x = 0 12 + 20x + 3x2 = 0 + 3x2 + -3x2 12 + 20x + 3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 12 + 20x + 3x2 = 0 Factor a trinomial. (6 + x)(2 + 3x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-6, -0.6666666667}
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