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Simplifying 3x2 + -12x + 7500 = 0 Reorder the terms: 7500 + -12x + 3x2 = 0 Solving 7500 + -12x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(2500 + -4x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2500 + -4x + x2)' equal to zero and attempt to solve: Simplifying 2500 + -4x + x2 = 0 Solving 2500 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2500' to each side of the equation. 2500 + -4x + -2500 + x2 = 0 + -2500 Reorder the terms: 2500 + -2500 + -4x + x2 = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + -4x + x2 = 0 + -2500 -4x + x2 = 0 + -2500 Combine like terms: 0 + -2500 = -2500 -4x + x2 = -2500 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -2500 + 4 Reorder the terms: 4 + -4x + x2 = -2500 + 4 Combine like terms: -2500 + 4 = -2496 4 + -4x + x2 = -2496 Factor a perfect square on the left side: (x + -2)(x + -2) = -2496 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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