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Simplifying 8x2 + 14x + -3 = 6 + -7x Reorder the terms: -3 + 14x + 8x2 = 6 + -7x Solving -3 + 14x + 8x2 = 6 + -7x Solving for variable 'x'. Reorder the terms: -3 + -6 + 14x + 7x + 8x2 = 6 + -7x + -6 + 7x Combine like terms: -3 + -6 = -9 -9 + 14x + 7x + 8x2 = 6 + -7x + -6 + 7x Combine like terms: 14x + 7x = 21x -9 + 21x + 8x2 = 6 + -7x + -6 + 7x Reorder the terms: -9 + 21x + 8x2 = 6 + -6 + -7x + 7x Combine like terms: 6 + -6 = 0 -9 + 21x + 8x2 = 0 + -7x + 7x -9 + 21x + 8x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 21x + 8x2 = 0 Factor a trinomial. (-3 + -1x)(3 + -8x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {-3, 0.375}
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