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Simplifying (7x + 3)(7x + 3) = 4 Reorder the terms: (3 + 7x)(7x + 3) = 4 Reorder the terms: (3 + 7x)(3 + 7x) = 4 Multiply (3 + 7x) * (3 + 7x) (3(3 + 7x) + 7x * (3 + 7x)) = 4 ((3 * 3 + 7x * 3) + 7x * (3 + 7x)) = 4 ((9 + 21x) + 7x * (3 + 7x)) = 4 (9 + 21x + (3 * 7x + 7x * 7x)) = 4 (9 + 21x + (21x + 49x2)) = 4 Combine like terms: 21x + 21x = 42x (9 + 42x + 49x2) = 4 Solving 9 + 42x + 49x2 = 4 Solving for variable 'x'. Reorder the terms: 9 + -4 + 42x + 49x2 = 4 + -4 Combine like terms: 9 + -4 = 5 5 + 42x + 49x2 = 4 + -4 Combine like terms: 4 + -4 = 0 5 + 42x + 49x2 = 0 Factor a trinomial. (5 + 7x)(1 + 7x) = 0Subproblem 1
Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 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 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {-0.7142857143, -0.1428571429}
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