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Simplifying (2x3 + -5x2 + 7x)(-1x3y) = 0 Reorder the terms: (7x + -5x2 + 2x3)(-1x3y) = 0 Remove parenthesis around (-1x3y) (7x + -5x2 + 2x3) * -1x3y = 0 Reorder the terms for easier multiplication: -1x3y(7x + -5x2 + 2x3) = 0 (7x * -1x3y + -5x2 * -1x3y + 2x3 * -1x3y) = 0 (-7x4y + 5x5y + -2x6y) = 0 Solving -7x4y + 5x5y + -2x6y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4y'. x4y(-7 + 5x + -2x2) = 0Subproblem 1
Set the factor 'x4y' equal to zero and attempt to solve: Simplifying x4y = 0 Solving x4y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + 5x + -2x2)' equal to zero and attempt to solve: Simplifying -7 + 5x + -2x2 = 0 Solving -7 + 5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 3.5 + -2.5x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -2.5x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -2.5x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -2.5x + x2 = 0 + -3.5 -2.5x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -2.5x + x2 = -3.5 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -3.5 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -3.5 + 1.5625 Combine like terms: -3.5 + 1.5625 = -1.9375 1.5625 + -2.5x + x2 = -1.9375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -1.9375 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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