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Simplifying 14x2 + 7x + -3 = 2x2 + 8x + 3 Reorder the terms: -3 + 7x + 14x2 = 2x2 + 8x + 3 Reorder the terms: -3 + 7x + 14x2 = 3 + 8x + 2x2 Solving -3 + 7x + 14x2 = 3 + 8x + 2x2 Solving for variable 'x'. Reorder the terms: -3 + -3 + 7x + -8x + 14x2 + -2x2 = 3 + 8x + 2x2 + -3 + -8x + -2x2 Combine like terms: -3 + -3 = -6 -6 + 7x + -8x + 14x2 + -2x2 = 3 + 8x + 2x2 + -3 + -8x + -2x2 Combine like terms: 7x + -8x = -1x -6 + -1x + 14x2 + -2x2 = 3 + 8x + 2x2 + -3 + -8x + -2x2 Combine like terms: 14x2 + -2x2 = 12x2 -6 + -1x + 12x2 = 3 + 8x + 2x2 + -3 + -8x + -2x2 Reorder the terms: -6 + -1x + 12x2 = 3 + -3 + 8x + -8x + 2x2 + -2x2 Combine like terms: 3 + -3 = 0 -6 + -1x + 12x2 = 0 + 8x + -8x + 2x2 + -2x2 -6 + -1x + 12x2 = 8x + -8x + 2x2 + -2x2 Combine like terms: 8x + -8x = 0 -6 + -1x + 12x2 = 0 + 2x2 + -2x2 -6 + -1x + 12x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + -1x + 12x2 = 0 Factor a trinomial. (-2 + -3x)(3 + -4x) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.6666666667, 0.75}
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