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Simplifying x(ax + b) = 4x2 + 2ax (ax * x + b * x) = 4x2 + 2ax (ax2 + bx) = 4x2 + 2ax Reorder the terms: ax2 + bx = 2ax + 4x2 Solving ax2 + bx = 2ax + 4x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ax' to each side of the equation. ax2 + -2ax + bx = 2ax + -2ax + 4x2 Reorder the terms: -2ax + ax2 + bx = 2ax + -2ax + 4x2 Combine like terms: 2ax + -2ax = 0 -2ax + ax2 + bx = 0 + 4x2 -2ax + ax2 + bx = 4x2 Add '-1bx' to each side of the equation. -2ax + ax2 + bx + -1bx = -1bx + 4x2 Combine like terms: bx + -1bx = 0 -2ax + ax2 + 0 = -1bx + 4x2 -2ax + ax2 = -1bx + 4x2 Reorder the terms: -2ax + ax2 + bx + -4x2 = -1bx + bx + 4x2 + -4x2 Combine like terms: -1bx + bx = 0 -2ax + ax2 + bx + -4x2 = 0 + 4x2 + -4x2 -2ax + ax2 + bx + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -2ax + ax2 + bx + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2a + ax + b + -4x) = 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 '(-2a + ax + b + -4x)' equal to zero and attempt to solve: Simplifying -2a + ax + b + -4x = 0 Solving -2a + ax + b + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -2a + ax + b + -1b + -4x = 0 + -1b Combine like terms: b + -1b = 0 -2a + ax + 0 + -4x = 0 + -1b -2a + ax + -4x = 0 + -1b Remove the zero: -2a + ax + -4x = -1b Add '4x' to each side of the equation. -2a + ax + -4x + 4x = -1b + 4x Combine like terms: -4x + 4x = 0 -2a + ax + 0 = -1b + 4x -2a + ax = -1b + 4x 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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