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Simplifying Ax2 = bx Solving x2A = bx Solving for variable 'x'. Reorder the terms: -1bx + x2A = bx + -1bx Combine like terms: bx + -1bx = 0 -1bx + x2A = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1b + xA) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1b + xA)' equal to zero and attempt to solve: Simplifying -1b + xA = 0 Solving -1b + xA = 0 Move all terms containing x to the left, all other terms to the right. Add 'b' to each side of the equation. -1b + b + xA = 0 + b Combine like terms: -1b + b = 0 0 + xA = 0 + b xA = 0 + b Remove the zero: xA = b Divide each side by 'A'. x = bA-1 Simplifying x = bA-1Solution
x = {0, bA-1}
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