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Simplifying (63x9 + -49x5 + 35x) = 0 Reorder the terms: (35x + -49x5 + 63x9) = 0 Remove parenthesis around (35x + -49x5 + 63x9) 35x + -49x5 + 63x9 = 0 Solving 35x + -49x5 + 63x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(5 + -7x4 + 9x8) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + -7x4 + 9x8)' equal to zero and attempt to solve: Simplifying 5 + -7x4 + 9x8 = 0 Solving 5 + -7x4 + 9x8 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + -0.7777777778x4 + x8 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + -0.7777777778x4 + -0.5555555556 + x8 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + -0.7777777778x4 + x8 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + -0.7777777778x4 + x8 = 0 + -0.5555555556 -0.7777777778x4 + x8 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 -0.7777777778x4 + x8 = -0.5555555556 The x term is -0.7777777778x4. 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. -0.7777777778x4 + 0.1512345679 + x8 = -0.5555555556 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778x4 + x8 = -0.5555555556 + 0.1512345679 Combine like terms: -0.5555555556 + 0.1512345679 = -0.4043209877 0.1512345679 + -0.7777777778x4 + x8 = -0.4043209877 Factor a perfect square on the left side: (x4 + -0.3888888889)(x4 + -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.Solution
x = {0}
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