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Simplifying 24x2 + 100 = 100x Reorder the terms: 100 + 24x2 = 100x Solving 100 + 24x2 = 100x Solving for variable 'x'. Reorder the terms: 100 + -100x + 24x2 = 100x + -100x Combine like terms: 100x + -100x = 0 100 + -100x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(25 + -25x + 6x2) = 0 Factor a trinomial. 4((5 + -3x)(5 + -2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {1.666666667, 2.5}
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