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Simplifying 5x3 + -25x2 + 35x = 0 Reorder the terms: 35x + -25x2 + 5x3 = 0 Solving 35x + -25x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(7 + -5x + x2) = 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 '(7 + -5x + x2)' equal to zero and attempt to solve: Simplifying 7 + -5x + x2 = 0 Solving 7 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -5x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -5x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x + x2 = 0 + -7 -5x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -5x + x2 = -7 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -7 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -7 + 6.25 Combine like terms: -7 + 6.25 = -0.75 6.25 + -5x + x2 = -0.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -0.75 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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