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Simplifying 3x2 + -10x = -63 + 8x Reorder the terms: -10x + 3x2 = -63 + 8x Solving -10x + 3x2 = -63 + 8x Solving for variable 'x'. Reorder the terms: 63 + -10x + -8x + 3x2 = -63 + 8x + 63 + -8x Combine like terms: -10x + -8x = -18x 63 + -18x + 3x2 = -63 + 8x + 63 + -8x Reorder the terms: 63 + -18x + 3x2 = -63 + 63 + 8x + -8x Combine like terms: -63 + 63 = 0 63 + -18x + 3x2 = 0 + 8x + -8x 63 + -18x + 3x2 = 8x + -8x Combine like terms: 8x + -8x = 0 63 + -18x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -6x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(21 + -6x + x2)' equal to zero and attempt to solve: Simplifying 21 + -6x + x2 = 0 Solving 21 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -6x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + -6x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -6x + x2 = 0 + -21 -6x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 -6x + x2 = -21 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -21 + 9 Reorder the terms: 9 + -6x + x2 = -21 + 9 Combine like terms: -21 + 9 = -12 9 + -6x + x2 = -12 Factor a perfect square on the left side: (x + -3)(x + -3) = -12 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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