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Simplifying -5x2 + 72x + 378 = 598 Reorder the terms: 378 + 72x + -5x2 = 598 Solving 378 + 72x + -5x2 = 598 Solving for variable 'x'. Reorder the terms: 378 + -598 + 72x + -5x2 = 598 + -598 Combine like terms: 378 + -598 = -220 -220 + 72x + -5x2 = 598 + -598 Combine like terms: 598 + -598 = 0 -220 + 72x + -5x2 = 0 Factor a trinomial. (-10 + x)(22 + -5x) = 0Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 2
Set the factor '(22 + -5x)' equal to zero and attempt to solve: Simplifying 22 + -5x = 0 Solving 22 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 0 + -22 -5x = 0 + -22 Combine like terms: 0 + -22 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4Solution
x = {10, 4.4}
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