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Simplifying (5x + 2)(6 + -1x) = 0 Reorder the terms: (2 + 5x)(6 + -1x) = 0 Multiply (2 + 5x) * (6 + -1x) (2(6 + -1x) + 5x * (6 + -1x)) = 0 ((6 * 2 + -1x * 2) + 5x * (6 + -1x)) = 0 ((12 + -2x) + 5x * (6 + -1x)) = 0 (12 + -2x + (6 * 5x + -1x * 5x)) = 0 (12 + -2x + (30x + -5x2)) = 0 Combine like terms: -2x + 30x = 28x (12 + 28x + -5x2) = 0 Solving 12 + 28x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(2 + 5x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {6, -0.4}
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