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Simplifying 2x2(q + -4p) * x + -2px = 0 Reorder the terms: 2x2(-4p + q) * x + -2px = 0 Reorder the terms for easier multiplication: 2x2 * x(-4p + q) + -2px = 0 Multiply x2 * x 2x3(-4p + q) + -2px = 0 (-4p * 2x3 + q * 2x3) + -2px = 0 (-8px3 + 2qx3) + -2px = 0 Reorder the terms: -2px + -8px3 + 2qx3 = 0 Solving -2px + -8px3 + 2qx3 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2qx3' to each side of the equation. -2px + -8px3 + 2qx3 + -2qx3 = 0 + -2qx3 Combine like terms: 2qx3 + -2qx3 = 0 -2px + -8px3 + 0 = 0 + -2qx3 -2px + -8px3 = 0 + -2qx3 Remove the zero: -2px + -8px3 = -2qx3 Combine like terms: -2qx3 + 2qx3 = 0 -2px + -8px3 + 2qx3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1p + -4px2 + qx2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing p 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 '(-1p + -4px2 + qx2)' equal to zero and attempt to solve: Simplifying -1p + -4px2 + qx2 = 0 Solving -1p + -4px2 + qx2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1qx2' to each side of the equation. -1p + -4px2 + qx2 + -1qx2 = 0 + -1qx2 Combine like terms: qx2 + -1qx2 = 0 -1p + -4px2 + 0 = 0 + -1qx2 -1p + -4px2 = 0 + -1qx2 Remove the zero: -1p + -4px2 = -1qx2 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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