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Simplifying ax2 + bx = a(x2 + bx) Reorder the terms: ax2 + bx = a(bx + x2) ax2 + bx = (bx * a + x2 * a) ax2 + bx = (abx + ax2) Add '-1ax2' to each side of the equation. ax2 + -1ax2 + bx = abx + ax2 + -1ax2 Combine like terms: ax2 + -1ax2 = 0 0 + bx = abx + ax2 + -1ax2 bx = abx + ax2 + -1ax2 Combine like terms: ax2 + -1ax2 = 0 bx = abx + 0 bx = abx Solving bx = abx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1abx' to each side of the equation. -1abx + bx = abx + -1abx Combine like terms: abx + -1abx = 0 -1abx + bx = 0 Factor out the Greatest Common Factor (GCF), 'bx'. bx(-1a + 1) = 0Subproblem 1
Set the factor 'bx' equal to zero and attempt to solve: Simplifying bx = 0 Solving bx = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1a + 1)' equal to zero and attempt to solve: Simplifying -1a + 1 = 0 Reorder the terms: 1 + -1a = 0 Solving 1 + -1a = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 0 + -1 -1a = 0 + -1 Combine like terms: 0 + -1 = -1 -1a = -1 Add 'a' to each side of the equation. -1a + a = -1 + a Combine like terms: -1a + a = 0 0 = -1 + a Simplifying 0 = -1 + a 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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