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Simplifying 6ax + 15a2x2 + -1x + -6ax2 = bx2 Reorder the terms: 6ax + -6ax2 + 15a2x2 + -1x = bx2 Solving 6ax + -6ax2 + 15a2x2 + -1x = bx2 Solving for variable 'a'. Reorder the terms: 6ax + -6ax2 + 15a2x2 + -1bx2 + -1x = bx2 + -1bx2 Combine like terms: bx2 + -1bx2 = 0 6ax + -6ax2 + 15a2x2 + -1bx2 + -1x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6a + -6ax + 15a2x + -1bx + -1) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(6a + -6ax + 15a2x + -1bx + -1)' equal to zero and attempt to solve: Simplifying 6a + -6ax + 15a2x + -1bx + -1 = 0 Reorder the terms: -1 + 6a + -6ax + 15a2x + -1bx = 0 Solving -1 + 6a + -6ax + 15a2x + -1bx = 0 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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