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Simplifying 4x2 + 8x + 708 = 0 Reorder the terms: 708 + 8x + 4x2 = 0 Solving 708 + 8x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(177 + 2x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(177 + 2x + x2)' equal to zero and attempt to solve: Simplifying 177 + 2x + x2 = 0 Solving 177 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-177' to each side of the equation. 177 + 2x + -177 + x2 = 0 + -177 Reorder the terms: 177 + -177 + 2x + x2 = 0 + -177 Combine like terms: 177 + -177 = 0 0 + 2x + x2 = 0 + -177 2x + x2 = 0 + -177 Combine like terms: 0 + -177 = -177 2x + x2 = -177 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 = -177 + 1 Reorder the terms: 1 + 2x + x2 = -177 + 1 Combine like terms: -177 + 1 = -176 1 + 2x + x2 = -176 Factor a perfect square on the left side: (x + 1)(x + 1) = -176 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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