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Simplifying 30x2 + -120x + 900 = 0 Reorder the terms: 900 + -120x + 30x2 = 0 Solving 900 + -120x + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '30'. 30(30 + -4x + x2) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(30 + -4x + x2)' equal to zero and attempt to solve: Simplifying 30 + -4x + x2 = 0 Solving 30 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -4x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -4x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -4x + x2 = 0 + -30 -4x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -4x + x2 = -30 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 = -30 + 4 Reorder the terms: 4 + -4x + x2 = -30 + 4 Combine like terms: -30 + 4 = -26 4 + -4x + x2 = -26 Factor a perfect square on the left side: (x + -2)(x + -2) = -26 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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