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Simplifying (7x + 3)(x + 10) = 0 Reorder the terms: (3 + 7x)(x + 10) = 0 Reorder the terms: (3 + 7x)(10 + x) = 0 Multiply (3 + 7x) * (10 + x) (3(10 + x) + 7x * (10 + x)) = 0 ((10 * 3 + x * 3) + 7x * (10 + x)) = 0 ((30 + 3x) + 7x * (10 + x)) = 0 (30 + 3x + (10 * 7x + x * 7x)) = 0 (30 + 3x + (70x + 7x2)) = 0 Combine like terms: 3x + 70x = 73x (30 + 73x + 7x2) = 0 Solving 30 + 73x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + x)(3 + 7x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -0.4285714286}
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