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Simplifying 28x2 = 27x + -5 Reorder the terms: 28x2 = -5 + 27x Solving 28x2 = -5 + 27x Solving for variable 'x'. Reorder the terms: 5 + -27x + 28x2 = -5 + 27x + 5 + -27x Reorder the terms: 5 + -27x + 28x2 = -5 + 5 + 27x + -27x Combine like terms: -5 + 5 = 0 5 + -27x + 28x2 = 0 + 27x + -27x 5 + -27x + 28x2 = 27x + -27x Combine like terms: 27x + -27x = 0 5 + -27x + 28x2 = 0 Factor a trinomial. (1 + -4x)(5 + -7x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {0.25, 0.7142857143}
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