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Simplifying 2x2 = 18x + -100 Reorder the terms: 2x2 = -100 + 18x Solving 2x2 = -100 + 18x Solving for variable 'x'. Reorder the terms: 100 + -18x + 2x2 = -100 + 18x + 100 + -18x Reorder the terms: 100 + -18x + 2x2 = -100 + 100 + 18x + -18x Combine like terms: -100 + 100 = 0 100 + -18x + 2x2 = 0 + 18x + -18x 100 + -18x + 2x2 = 18x + -18x Combine like terms: 18x + -18x = 0 100 + -18x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(50 + -9x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(50 + -9x + x2)' equal to zero and attempt to solve: Simplifying 50 + -9x + x2 = 0 Solving 50 + -9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + -9x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + -9x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -9x + x2 = 0 + -50 -9x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 -9x + x2 = -50 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -50 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -50 + 20.25 Combine like terms: -50 + 20.25 = -29.75 20.25 + -9x + x2 = -29.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -29.75 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. The solution to this equation could not be determined.
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