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Simplifying 7(2 + -1x) + 14x(x + 3) = 0 (2 * 7 + -1x * 7) + 14x(x + 3) = 0 (14 + -7x) + 14x(x + 3) = 0 Reorder the terms: 14 + -7x + 14x(3 + x) = 0 14 + -7x + (3 * 14x + x * 14x) = 0 14 + -7x + (42x + 14x2) = 0 Combine like terms: -7x + 42x = 35x 14 + 35x + 14x2 = 0 Solving 14 + 35x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(2 + 5x + 2x2) = 0 Factor a trinomial. 7((2 + x)(1 + 2x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-2, -0.5}
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