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Simplifying 4x2 + -420x + 2744 = 0 Reorder the terms: 2744 + -420x + 4x2 = 0 Solving 2744 + -420x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(686 + -105x + x2) = 0 Factor a trinomial. 4((7 + -1x)(98 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(98 + -1x)' equal to zero and attempt to solve: Simplifying 98 + -1x = 0 Solving 98 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -1x = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -1x = 0 + -98 -1x = 0 + -98 Combine like terms: 0 + -98 = -98 -1x = -98 Divide each side by '-1'. x = 98 Simplifying x = 98Solution
x = {7, 98}
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