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Simplifying -5x(9x2 + -7x + 2) = 0 Reorder the terms: -5x(2 + -7x + 9x2) = 0 (2 * -5x + -7x * -5x + 9x2 * -5x) = 0 (-10x + 35x2 + -45x3) = 0 Solving -10x + 35x2 + -45x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-2 + 7x + -9x2) = 0 Ignore the factor 5.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 '(-2 + 7x + -9x2)' equal to zero and attempt to solve: Simplifying -2 + 7x + -9x2 = 0 Solving -2 + 7x + -9x2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.2222222222 + -0.7777777778x + x2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.7777777778x + -0.2222222222 + x2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.7777777778x + x2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.7777777778x + x2 = 0 + -0.2222222222 -0.7777777778x + x2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.7777777778x + x2 = -0.2222222222 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 = -0.2222222222 + 0.1512345679 Reorder the terms: 0.1512345679 + -0.7777777778x + x2 = -0.2222222222 + 0.1512345679 Combine like terms: -0.2222222222 + 0.1512345679 = -0.0709876543 0.1512345679 + -0.7777777778x + x2 = -0.0709876543 Factor a perfect square on the left side: (x + -0.3888888889)(x + -0.3888888889) = -0.0709876543 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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