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Simplifying 5x(x + 7) + 2(x + 7) = 0 Reorder the terms: 5x(7 + x) + 2(x + 7) = 0 (7 * 5x + x * 5x) + 2(x + 7) = 0 (35x + 5x2) + 2(x + 7) = 0 Reorder the terms: 35x + 5x2 + 2(7 + x) = 0 35x + 5x2 + (7 * 2 + x * 2) = 0 35x + 5x2 + (14 + 2x) = 0 Reorder the terms: 14 + 35x + 2x + 5x2 = 0 Combine like terms: 35x + 2x = 37x 14 + 37x + 5x2 = 0 Solving 14 + 37x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x)(2 + 5x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 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 = {-7, -0.4}
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