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Simplifying 3x2 = 6x + -24 Reorder the terms: 3x2 = -24 + 6x Solving 3x2 = -24 + 6x Solving for variable 'x'. Reorder the terms: 24 + -6x + 3x2 = -24 + 6x + 24 + -6x Reorder the terms: 24 + -6x + 3x2 = -24 + 24 + 6x + -6x Combine like terms: -24 + 24 = 0 24 + -6x + 3x2 = 0 + 6x + -6x 24 + -6x + 3x2 = 6x + -6x Combine like terms: 6x + -6x = 0 24 + -6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -2x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + -2x + x2)' equal to zero and attempt to solve: Simplifying 8 + -2x + x2 = 0 Solving 8 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -2x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x + x2 = 0 + -8 -2x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2x + x2 = -8 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -8 + 1 Reorder the terms: 1 + -2x + x2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2x + x2 = -7 Factor a perfect square on the left side: (x + -1)(x + -1) = -7 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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