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Simplifying 63x2 + -90x + 32 = 0 Reorder the terms: 32 + -90x + 63x2 = 0 Solving 32 + -90x + 63x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(16 + -21x) = 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 '(16 + -21x)' equal to zero and attempt to solve: Simplifying 16 + -21x = 0 Solving 16 + -21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -21x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -21x = 0 + -16 -21x = 0 + -16 Combine like terms: 0 + -16 = -16 -21x = -16 Divide each side by '-21'. x = 0.7619047619 Simplifying x = 0.7619047619Solution
x = {0.6666666667, 0.7619047619}
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