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Simplifying -1x2 + -10 = 3x Reorder the terms: -10 + -1x2 = 3x Solving -10 + -1x2 = 3x Solving for variable 'x'. Reorder the terms: -10 + -3x + -1x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -3x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 3x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 3x + x2)' equal to zero and attempt to solve: Simplifying 10 + 3x + x2 = 0 Solving 10 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 3x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 3x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x + x2 = 0 + -10 3x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 3x + x2 = -10 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 = -10 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + 3x + x2 = -7.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -7.75 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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