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Simplifying 3x2 + -88x + 420 = 0 Reorder the terms: 420 + -88x + 3x2 = 0 Solving 420 + -88x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(70 + -3x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(70 + -3x)' equal to zero and attempt to solve: Simplifying 70 + -3x = 0 Solving 70 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -3x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -3x = 0 + -70 -3x = 0 + -70 Combine like terms: 0 + -70 = -70 -3x = -70 Divide each side by '-3'. x = 23.33333333 Simplifying x = 23.33333333Solution
x = {6, 23.33333333}
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