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Simplifying 0 = 4x2 + -8x + 144 Reorder the terms: 0 = 144 + -8x + 4x2 Solving 0 = 144 + -8x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -144 = -144 -144 + 8x + -4x2 = 144 + -8x + 4x2 + -144 + 8x + -4x2 Reorder the terms: -144 + 8x + -4x2 = 144 + -144 + -8x + 8x + 4x2 + -4x2 Combine like terms: 144 + -144 = 0 -144 + 8x + -4x2 = 0 + -8x + 8x + 4x2 + -4x2 -144 + 8x + -4x2 = -8x + 8x + 4x2 + -4x2 Combine like terms: -8x + 8x = 0 -144 + 8x + -4x2 = 0 + 4x2 + -4x2 -144 + 8x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -144 + 8x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-36 + 2x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-36 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -36 + 2x + -1x2 = 0 Solving -36 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 36 + -2x + x2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + -2x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + -2x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -2x + x2 = 0 + -36 -2x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 -2x + x2 = -36 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 = -36 + 1 Reorder the terms: 1 + -2x + x2 = -36 + 1 Combine like terms: -36 + 1 = -35 1 + -2x + x2 = -35 Factor a perfect square on the left side: (x + -1)(x + -1) = -35 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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