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Simplifying 5x2 + 4x + -28 = 0 Reorder the terms: -28 + 4x + 5x2 = 0 Solving -28 + 4x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(-14 + -5x)' equal to zero and attempt to solve: Simplifying -14 + -5x = 0 Solving -14 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 0 + 14 -5x = 0 + 14 Combine like terms: 0 + 14 = 14 -5x = 14 Divide each side by '-5'. x = -2.8 Simplifying x = -2.8Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.8, 2}
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