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Simplifying 3x2 + -16x + 64 = 43 Reorder the terms: 64 + -16x + 3x2 = 43 Solving 64 + -16x + 3x2 = 43 Solving for variable 'x'. Reorder the terms: 64 + -43 + -16x + 3x2 = 43 + -43 Combine like terms: 64 + -43 = 21 21 + -16x + 3x2 = 43 + -43 Combine like terms: 43 + -43 = 0 21 + -16x + 3x2 = 0 Factor a trinomial. (7 + -3x)(3 + -1x) = 0Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Subproblem 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 = {2.333333333, 3}
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