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Simplifying ax(2x + -5) = 6x2 + -1bx Reorder the terms: ax(-5 + 2x) = 6x2 + -1bx (-5 * ax + 2x * ax) = 6x2 + -1bx (-5ax + 2ax2) = 6x2 + -1bx Reorder the terms: -5ax + 2ax2 = -1bx + 6x2 Solving -5ax + 2ax2 = -1bx + 6x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -5ax + 2ax2 + bx + -6x2 = -1bx + bx + 6x2 + -6x2 Combine like terms: -1bx + bx = 0 -5ax + 2ax2 + bx + -6x2 = 0 + 6x2 + -6x2 -5ax + 2ax2 + bx + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -5ax + 2ax2 + bx + -6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5a + 2ax + b + -6x) = 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 '(-5a + 2ax + b + -6x)' equal to zero and attempt to solve: Simplifying -5a + 2ax + b + -6x = 0 Solving -5a + 2ax + b + -6x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -5a + 2ax + b + -1b + -6x = 0 + -1b Combine like terms: b + -1b = 0 -5a + 2ax + 0 + -6x = 0 + -1b -5a + 2ax + -6x = 0 + -1b Remove the zero: -5a + 2ax + -6x = -1b Add '6x' to each side of the equation. -5a + 2ax + -6x + 6x = -1b + 6x Combine like terms: -6x + 6x = 0 -5a + 2ax + 0 = -1b + 6x -5a + 2ax = -1b + 6x 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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