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Simplifying 4x2 + -101x + 610 = 0 Reorder the terms: 610 + -101x + 4x2 = 0 Solving 610 + -101x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -1x)(61 + -4x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(61 + -4x)' equal to zero and attempt to solve: Simplifying 61 + -4x = 0 Solving 61 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -4x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -4x = 0 + -61 -4x = 0 + -61 Combine like terms: 0 + -61 = -61 -4x = -61 Divide each side by '-4'. x = 15.25 Simplifying x = 15.25Solution
x = {10, 15.25}
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