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Simplifying 2x2 + 2bx + -8x + -8b = 0 Reorder the terms: -8b + 2bx + -8x + 2x2 = 0 Solving -8b + 2bx + -8x + 2x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8x' to each side of the equation. -8b + 2bx + -8x + 8x + 2x2 = 0 + 8x Combine like terms: -8x + 8x = 0 -8b + 2bx + 0 + 2x2 = 0 + 8x -8b + 2bx + 2x2 = 0 + 8x Remove the zero: -8b + 2bx + 2x2 = 8x Add '-2x2' to each side of the equation. -8b + 2bx + 2x2 + -2x2 = 8x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8b + 2bx + 0 = 8x + -2x2 -8b + 2bx = 8x + -2x2 Reorder the terms: -8b + 2bx + -8x + 2x2 = 8x + -8x + -2x2 + 2x2 Combine like terms: 8x + -8x = 0 -8b + 2bx + -8x + 2x2 = 0 + -2x2 + 2x2 -8b + 2bx + -8x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -8b + 2bx + -8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4b + bx + -4x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4b + bx + -4x + x2)' equal to zero and attempt to solve: Simplifying -4b + bx + -4x + x2 = 0 Solving -4b + bx + -4x + x2 = 0 Move all terms containing b to the left, all other terms to the right. Add '4x' to each side of the equation. -4b + bx + -4x + 4x + x2 = 0 + 4x Combine like terms: -4x + 4x = 0 -4b + bx + 0 + x2 = 0 + 4x -4b + bx + x2 = 0 + 4x Remove the zero: -4b + bx + x2 = 4x Add '-1x2' to each side of the equation. -4b + bx + x2 + -1x2 = 4x + -1x2 Combine like terms: x2 + -1x2 = 0 -4b + bx + 0 = 4x + -1x2 -4b + bx = 4x + -1x2 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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