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Simplifying 18x + 7 + -14x(-6x) + -10 = -13 Remove parenthesis around (-6x) 18x + 7 + -14x * -6x + -10 = -13 Reorder the terms for easier multiplication: 18x + 7 + -14 * -6x * x + -10 = -13 Multiply -14 * -6 18x + 7 + 84x * x + -10 = -13 Multiply x * x 18x + 7 + 84x2 + -10 = -13 Reorder the terms: 7 + -10 + 18x + 84x2 = -13 Combine like terms: 7 + -10 = -3 -3 + 18x + 84x2 = -13 Solving -3 + 18x + 84x2 = -13 Solving for variable 'x'. Reorder the terms: -3 + 13 + 18x + 84x2 = -13 + 13 Combine like terms: -3 + 13 = 10 10 + 18x + 84x2 = -13 + 13 Combine like terms: -13 + 13 = 0 10 + 18x + 84x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 9x + 42x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 9x + 42x2)' equal to zero and attempt to solve: Simplifying 5 + 9x + 42x2 = 0 Solving 5 + 9x + 42x2 = 0 Begin completing the square. Divide all terms by 42 the coefficient of the squared term: Divide each side by '42'. 0.119047619 + 0.2142857143x + x2 = 0 Move the constant term to the right: Add '-0.119047619' to each side of the equation. 0.119047619 + 0.2142857143x + -0.119047619 + x2 = 0 + -0.119047619 Reorder the terms: 0.119047619 + -0.119047619 + 0.2142857143x + x2 = 0 + -0.119047619 Combine like terms: 0.119047619 + -0.119047619 = 0.000000000 0.000000000 + 0.2142857143x + x2 = 0 + -0.119047619 0.2142857143x + x2 = 0 + -0.119047619 Combine like terms: 0 + -0.119047619 = -0.119047619 0.2142857143x + x2 = -0.119047619 The x term is 0.2142857143x. Take half its coefficient (0.1071428572). Square it (0.01147959185) and add it to both sides. Add '0.01147959185' to each side of the equation. 0.2142857143x + 0.01147959185 + x2 = -0.119047619 + 0.01147959185 Reorder the terms: 0.01147959185 + 0.2142857143x + x2 = -0.119047619 + 0.01147959185 Combine like terms: -0.119047619 + 0.01147959185 = -0.10756802715 0.01147959185 + 0.2142857143x + x2 = -0.10756802715 Factor a perfect square on the left side: (x + 0.1071428572)(x + 0.1071428572) = -0.10756802715 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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