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Simplifying 4x2 + 32x + 1044 = 0 Reorder the terms: 1044 + 32x + 4x2 = 0 Solving 1044 + 32x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(261 + 8x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(261 + 8x + x2)' equal to zero and attempt to solve: Simplifying 261 + 8x + x2 = 0 Solving 261 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-261' to each side of the equation. 261 + 8x + -261 + x2 = 0 + -261 Reorder the terms: 261 + -261 + 8x + x2 = 0 + -261 Combine like terms: 261 + -261 = 0 0 + 8x + x2 = 0 + -261 8x + x2 = 0 + -261 Combine like terms: 0 + -261 = -261 8x + x2 = -261 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -261 + 16 Reorder the terms: 16 + 8x + x2 = -261 + 16 Combine like terms: -261 + 16 = -245 16 + 8x + x2 = -245 Factor a perfect square on the left side: (x + 4)(x + 4) = -245 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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