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Simplifying 0 = 7x2 + 15x + 2 Reorder the terms: 0 = 2 + 15x + 7x2 Solving 0 = 2 + 15x + 7x2 Solving for variable 'x'. Combine like terms: 0 + -2 = -2 -2 + -15x + -7x2 = 2 + 15x + 7x2 + -2 + -15x + -7x2 Reorder the terms: -2 + -15x + -7x2 = 2 + -2 + 15x + -15x + 7x2 + -7x2 Combine like terms: 2 + -2 = 0 -2 + -15x + -7x2 = 0 + 15x + -15x + 7x2 + -7x2 -2 + -15x + -7x2 = 15x + -15x + 7x2 + -7x2 Combine like terms: 15x + -15x = 0 -2 + -15x + -7x2 = 0 + 7x2 + -7x2 -2 + -15x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -2 + -15x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 15x + 7x2) = 0 Factor a trinomial. -1((2 + x)(1 + 7x)) = 0 Ignore the factor -1.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 + 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 = {-2, -0.1428571429}
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