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Simplifying 8x2 + -7x + 4x + -60 + -3 = 0 Reorder the terms: -60 + -3 + -7x + 4x + 8x2 = 0 Combine like terms: -60 + -3 = -63 -63 + -7x + 4x + 8x2 = 0 Combine like terms: -7x + 4x = -3x -63 + -3x + 8x2 = 0 Solving -63 + -3x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-21 + -8x)(3 + -1x) = 0Subproblem 1
Set the factor '(-21 + -8x)' equal to zero and attempt to solve: Simplifying -21 + -8x = 0 Solving -21 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -8x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -8x = 0 + 21 -8x = 0 + 21 Combine like terms: 0 + 21 = 21 -8x = 21 Divide each side by '-8'. x = -2.625 Simplifying x = -2.625Subproblem 2
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 = 3Solution
x = {-2.625, 3}
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