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Simplifying 7x(7x + 3) = 10 Reorder the terms: 7x(3 + 7x) = 10 (3 * 7x + 7x * 7x) = 10 (21x + 49x2) = 10 Solving 21x + 49x2 = 10 Solving for variable 'x'. Reorder the terms: -10 + 21x + 49x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 21x + 49x2 = 0 Factor a trinomial. (-5 + -7x)(2 + -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 '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-0.7142857143, 0.2857142857}
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