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Simplifying 5x2 + -7x + -196 = 0 Reorder the terms: -196 + -7x + 5x2 = 0 Solving -196 + -7x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-28 + -5x)(7 + -1x) = 0Subproblem 1
Set the factor '(-28 + -5x)' equal to zero and attempt to solve: Simplifying -28 + -5x = 0 Solving -28 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -5x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = 0 + 28 -5x = 0 + 28 Combine like terms: 0 + 28 = 28 -5x = 28 Divide each side by '-5'. x = -5.6 Simplifying x = -5.6Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-5.6, 7}
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