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Simplifying 5(64 + -1x2) = 296 + -7x (64 * 5 + -1x2 * 5) = 296 + -7x (320 + -5x2) = 296 + -7x Solving 320 + -5x2 = 296 + -7x Solving for variable 'x'. Reorder the terms: 320 + -296 + 7x + -5x2 = 296 + -7x + -296 + 7x Combine like terms: 320 + -296 = 24 24 + 7x + -5x2 = 296 + -7x + -296 + 7x Reorder the terms: 24 + 7x + -5x2 = 296 + -296 + -7x + 7x Combine like terms: 296 + -296 = 0 24 + 7x + -5x2 = 0 + -7x + 7x 24 + 7x + -5x2 = -7x + 7x Combine like terms: -7x + 7x = 0 24 + 7x + -5x2 = 0 Factor a trinomial. (3 + -1x)(8 + 5x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Solution
x = {3, -1.6}
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