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The real x for which 15x2 + 16x - 15 |
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Answer» Simplifying15x2 + -16x + -15 = 0Reorder the terms:-15 + -16x + 15x2 = 0Solving-15 + -16x + 15x2 = 0Solving for variable 'X'.Factor a trinomial.(-3 + -5x)(5 + -3x) = 0Subproblem 1Set the factor '(-3 + -5x)' EQUAL to zero and attempt to SOLVE:Simplifying-3 + -5x = 0Solving-3 + -5x = 0Move all terms CONTAINING x to the left, all other terms to the right.Add '3' to each side of the equation.-3 + 3 + -5x = 0 + 3Combine LIKE terms: -3 + 3 = 00 + -5x = 0 + 3-5x = 0 + 3Combine like terms: 0 + 3 = 3-5x = 3Divide each side by '-5'.x = -0.6Simplifyingx = -0.6Subproblem 2Set the factor '(5 + -3x)' equal to zero and attempt to solve:Simplifying5 + -3x = 0Solving5 + -3x = 0Move all terms containing x to the left, all other terms to the right.Add '-5' to each side of the equation.5 + -5 + -3x = 0 + -5Combine like terms: 5 + -5 = 00 + -3x = 0 + -5-3x = 0 + -5Combine like terms: 0 + -5 = -5-3x = -5Divide each side by '-3'.x = 1.666666667Simplifyingx = 1.666666667 |
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