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Simplifying 7x3(2x2 + -5x + 7) = 0 Reorder the terms: 7x3(7 + -5x + 2x2) = 0 (7 * 7x3 + -5x * 7x3 + 2x2 * 7x3) = 0 (49x3 + -35x4 + 14x5) = 0 Solving 49x3 + -35x4 + 14x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x3'. 7x3(7 + -5x + 2x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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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