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Simplifying 28x2 + -52x + 28 = 4x2 Reorder the terms: 28 + -52x + 28x2 = 4x2 Solving 28 + -52x + 28x2 = 4x2 Solving for variable 'x'. Combine like terms: 28x2 + -4x2 = 24x2 28 + -52x + 24x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 28 + -52x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7 + -13x + 6x2) = 0 Factor a trinomial. 4((1 + -1x)(7 + -6x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {1, 1.166666667}
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