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Simplifying 5x2 = 13x + 28 Reorder the terms: 5x2 = 28 + 13x Solving 5x2 = 28 + 13x Solving for variable 'x'. Reorder the terms: -28 + -13x + 5x2 = 28 + 13x + -28 + -13x Reorder the terms: -28 + -13x + 5x2 = 28 + -28 + 13x + -13x Combine like terms: 28 + -28 = 0 -28 + -13x + 5x2 = 0 + 13x + -13x -28 + -13x + 5x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -28 + -13x + 5x2 = 0 Factor a trinomial. (-7 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 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 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-1.4, 4}
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