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Simplifying x + 3x2 + -16x + 63 = 0 Reorder the terms: 63 + x + -16x + 3x2 = 0 Combine like terms: x + -16x = -15x 63 + -15x + 3x2 = 0 Solving 63 + -15x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -5x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(21 + -5x + x2)' equal to zero and attempt to solve: Simplifying 21 + -5x + x2 = 0 Solving 21 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -5x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + -5x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -5x + x2 = 0 + -21 -5x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 -5x + x2 = -21 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -21 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -21 + 6.25 Combine like terms: -21 + 6.25 = -14.75 6.25 + -5x + x2 = -14.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -14.75 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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