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Simplifying 28x2 = -13x + 5 Reorder the terms: 28x2 = 5 + -13x Solving 28x2 = 5 + -13x Solving for variable 'x'. Reorder the terms: -5 + 13x + 28x2 = 5 + -13x + -5 + 13x Reorder the terms: -5 + 13x + 28x2 = 5 + -5 + -13x + 13x Combine like terms: 5 + -5 = 0 -5 + 13x + 28x2 = 0 + -13x + 13x -5 + 13x + 28x2 = -13x + 13x Combine like terms: -13x + 13x = 0 -5 + 13x + 28x2 = 0 Factor a trinomial. (-5 + -7x)(1 + -4x) = 0Subproblem 1
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 = -0.7142857143Subproblem 2
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 = 0.25Solution
x = {-0.7142857143, 0.25}
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