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Simplifying 15x2 + 22x + 7 = 0 Reorder the terms: 7 + 22x + 15x2 = 0 Solving 7 + 22x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + x)(7 + 15x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(7 + 15x)' equal to zero and attempt to solve: Simplifying 7 + 15x = 0 Solving 7 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 15x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 0 + -7 15x = 0 + -7 Combine like terms: 0 + -7 = -7 15x = -7 Divide each side by '15'. x = -0.4666666667 Simplifying x = -0.4666666667Solution
x = {-1, -0.4666666667}
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