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Simplifying (2 + -5x)(7 + 6x) = 0 Multiply (2 + -5x) * (7 + 6x) (2(7 + 6x) + -5x * (7 + 6x)) = 0 ((7 * 2 + 6x * 2) + -5x * (7 + 6x)) = 0 ((14 + 12x) + -5x * (7 + 6x)) = 0 (14 + 12x + (7 * -5x + 6x * -5x)) = 0 (14 + 12x + (-35x + -30x2)) = 0 Combine like terms: 12x + -35x = -23x (14 + -23x + -30x2) = 0 Solving 14 + -23x + -30x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(7 + 6x) = 0Subproblem 1
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 = 0.4Subproblem 2
Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 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 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Solution
x = {0.4, -1.166666667}
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