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Simplifying 15x2 + -120x + 14000 = 0 Reorder the terms: 14000 + -120x + 15x2 = 0 Solving 14000 + -120x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(2800 + -24x + 3x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2800 + -24x + 3x2)' equal to zero and attempt to solve: Simplifying 2800 + -24x + 3x2 = 0 Solving 2800 + -24x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 933.3333333 + -8x + x2 = 0 Move the constant term to the right: Add '-933.3333333' to each side of the equation. 933.3333333 + -8x + -933.3333333 + x2 = 0 + -933.3333333 Reorder the terms: 933.3333333 + -933.3333333 + -8x + x2 = 0 + -933.3333333 Combine like terms: 933.3333333 + -933.3333333 = 0.0000000 0.0000000 + -8x + x2 = 0 + -933.3333333 -8x + x2 = 0 + -933.3333333 Combine like terms: 0 + -933.3333333 = -933.3333333 -8x + x2 = -933.3333333 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -933.3333333 + 16 Reorder the terms: 16 + -8x + x2 = -933.3333333 + 16 Combine like terms: -933.3333333 + 16 = -917.3333333 16 + -8x + x2 = -917.3333333 Factor a perfect square on the left side: (x + -4)(x + -4) = -917.3333333 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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