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Simplifying 7x(2x + 5) + 3(2x + 5) = 0 Reorder the terms: 7x(5 + 2x) + 3(2x + 5) = 0 (5 * 7x + 2x * 7x) + 3(2x + 5) = 0 (35x + 14x2) + 3(2x + 5) = 0 Reorder the terms: 35x + 14x2 + 3(5 + 2x) = 0 35x + 14x2 + (5 * 3 + 2x * 3) = 0 35x + 14x2 + (15 + 6x) = 0 Reorder the terms: 15 + 35x + 6x + 14x2 = 0 Combine like terms: 35x + 6x = 41x 15 + 41x + 14x2 = 0 Solving 15 + 41x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 2x)(3 + 7x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {-2.5, -0.4285714286}
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