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Simplifying 5x2 + 43x + -48 = 0 Reorder the terms: -48 + 43x + 5x2 = 0 Solving -48 + 43x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-48 + -5x)(1 + -1x) = 0Subproblem 1
Set the factor '(-48 + -5x)' equal to zero and attempt to solve: Simplifying -48 + -5x = 0 Solving -48 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -5x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -5x = 0 + 48 -5x = 0 + 48 Combine like terms: 0 + 48 = 48 -5x = 48 Divide each side by '-5'. x = -9.6 Simplifying x = -9.6Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-9.6, 1}
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