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Simplifying 7x(x + 3) + 3(x + 3) = 0 Reorder the terms: 7x(3 + x) + 3(x + 3) = 0 (3 * 7x + x * 7x) + 3(x + 3) = 0 (21x + 7x2) + 3(x + 3) = 0 Reorder the terms: 21x + 7x2 + 3(3 + x) = 0 21x + 7x2 + (3 * 3 + x * 3) = 0 21x + 7x2 + (9 + 3x) = 0 Reorder the terms: 9 + 21x + 3x + 7x2 = 0 Combine like terms: 21x + 3x = 24x 9 + 24x + 7x2 = 0 Solving 9 + 24x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(3 + 7x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 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 = {-3, -0.4285714286}
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