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Simplifying (4 + -4x + -1x2) + -2x = 36 Remove parenthesis around (4 + -4x + -1x2) 4 + -4x + -1x2 + -2x = 36 Reorder the terms: 4 + -4x + -2x + -1x2 = 36 Combine like terms: -4x + -2x = -6x 4 + -6x + -1x2 = 36 Solving 4 + -6x + -1x2 = 36 Solving for variable 'x'. Reorder the terms: 4 + -36 + -6x + -1x2 = 36 + -36 Combine like terms: 4 + -36 = -32 -32 + -6x + -1x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -32 + -6x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(32 + 6x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(32 + 6x + x2)' equal to zero and attempt to solve: Simplifying 32 + 6x + x2 = 0 Solving 32 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 6x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 6x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 6x + x2 = 0 + -32 6x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 6x + x2 = -32 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 = -32 + 9 Reorder the terms: 9 + 6x + x2 = -32 + 9 Combine like terms: -32 + 9 = -23 9 + 6x + x2 = -23 Factor a perfect square on the left side: (x + 3)(x + 3) = -23 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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