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Simplifying 14x + -6 = (3x) * 6x + 4 Reorder the terms: -6 + 14x = (3x) * 6x + 4 Remove parenthesis around (3x) -6 + 14x = 3x * 6x + 4 Reorder the terms for easier multiplication: -6 + 14x = 3 * 6x * x + 4 Multiply 3 * 6 -6 + 14x = 18x * x + 4 Multiply x * x -6 + 14x = 18x2 + 4 Reorder the terms: -6 + 14x = 4 + 18x2 Solving -6 + 14x = 4 + 18x2 Solving for variable 'x'. Reorder the terms: -6 + -4 + 14x + -18x2 = 4 + 18x2 + -4 + -18x2 Combine like terms: -6 + -4 = -10 -10 + 14x + -18x2 = 4 + 18x2 + -4 + -18x2 Reorder the terms: -10 + 14x + -18x2 = 4 + -4 + 18x2 + -18x2 Combine like terms: 4 + -4 = 0 -10 + 14x + -18x2 = 0 + 18x2 + -18x2 -10 + 14x + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -10 + 14x + -18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 7x + -9x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 7x + -9x2)' equal to zero and attempt to solve: Simplifying -5 + 7x + -9x2 = 0 Solving -5 + 7x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.5555555556 + -0.7777777778x + x2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + -0.7777777778x + -0.5555555556 + x2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + -0.7777777778x + x2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + -0.7777777778x + x2 = 0 + -0.5555555556 -0.7777777778x + x2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 -0.7777777778x + x2 = -0.5555555556 The x term is -0.7777777778x. Take half its coefficient (-0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. -0.7777777778x + 0.1512345679 + x2 = -0.5555555556 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778x + x2 = -0.5555555556 + 0.1512345679 Combine like terms: -0.5555555556 + 0.1512345679 = -0.4043209877 0.1512345679 + -0.7777777778x + x2 = -0.4043209877 Factor a perfect square on the left side: (x + -0.3888888889)(x + -0.3888888889) = -0.4043209877 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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