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Simplifying 8x2 + 5 = 5x2 + 14x + -3 Reorder the terms: 5 + 8x2 = 5x2 + 14x + -3 Reorder the terms: 5 + 8x2 = -3 + 14x + 5x2 Solving 5 + 8x2 = -3 + 14x + 5x2 Solving for variable 'x'. Reorder the terms: 5 + 3 + -14x + 8x2 + -5x2 = -3 + 14x + 5x2 + 3 + -14x + -5x2 Combine like terms: 5 + 3 = 8 8 + -14x + 8x2 + -5x2 = -3 + 14x + 5x2 + 3 + -14x + -5x2 Combine like terms: 8x2 + -5x2 = 3x2 8 + -14x + 3x2 = -3 + 14x + 5x2 + 3 + -14x + -5x2 Reorder the terms: 8 + -14x + 3x2 = -3 + 3 + 14x + -14x + 5x2 + -5x2 Combine like terms: -3 + 3 = 0 8 + -14x + 3x2 = 0 + 14x + -14x + 5x2 + -5x2 8 + -14x + 3x2 = 14x + -14x + 5x2 + -5x2 Combine like terms: 14x + -14x = 0 8 + -14x + 3x2 = 0 + 5x2 + -5x2 8 + -14x + 3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 8 + -14x + 3x2 = 0 Factor a trinomial. (2 + -3x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0.6666666667, 4}
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