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Simplifying 2x * x + -2 + -10x + 15 = 3 + -4x Multiply x * x 2x2 + -2 + -10x + 15 = 3 + -4x Reorder the terms: -2 + 15 + -10x + 2x2 = 3 + -4x Combine like terms: -2 + 15 = 13 13 + -10x + 2x2 = 3 + -4x Solving 13 + -10x + 2x2 = 3 + -4x Solving for variable 'x'. Reorder the terms: 13 + -3 + -10x + 4x + 2x2 = 3 + -4x + -3 + 4x Combine like terms: 13 + -3 = 10 10 + -10x + 4x + 2x2 = 3 + -4x + -3 + 4x Combine like terms: -10x + 4x = -6x 10 + -6x + 2x2 = 3 + -4x + -3 + 4x Reorder the terms: 10 + -6x + 2x2 = 3 + -3 + -4x + 4x Combine like terms: 3 + -3 = 0 10 + -6x + 2x2 = 0 + -4x + 4x 10 + -6x + 2x2 = -4x + 4x Combine like terms: -4x + 4x = 0 10 + -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -3x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -3x + x2)' equal to zero and attempt to solve: Simplifying 5 + -3x + x2 = 0 Solving 5 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -3x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x + x2 = 0 + -5 -3x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3x + x2 = -5 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -5 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + -3x + x2 = -2.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -2.75 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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