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Simplifying xsqared + 3xsquared = 10squared Reorder the terms: 3adeqrsux + adeqrsx = 10squared Solving 3adeqrsux + adeqrsx = 10adeqrsu Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10adeqrsu' to each side of the equation. 3adeqrsux + -10adeqrsu + adeqrsx = 10adeqrsu + -10adeqrsu Reorder the terms: -10adeqrsu + 3adeqrsux + adeqrsx = 10adeqrsu + -10adeqrsu Combine like terms: 10adeqrsu + -10adeqrsu = 0 -10adeqrsu + 3adeqrsux + adeqrsx = 0 Factor out the Greatest Common Factor (GCF), 'adeqrs'. adeqrs(-10u + 3ux + x) = 0Subproblem 1
Set the factor 'adeqrs' equal to zero and attempt to solve: Simplifying adeqrs = 0 Solving adeqrs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adeqrs = 0 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 '(-10u + 3ux + x)' equal to zero and attempt to solve: Simplifying -10u + 3ux + x = 0 Solving -10u + 3ux + x = 0 Move all terms containing a to the left, all other terms to the right. Add '10u' to each side of the equation. -10u + 3ux + 10u + x = 0 + 10u Reorder the terms: -10u + 10u + 3ux + x = 0 + 10u Combine like terms: -10u + 10u = 0 0 + 3ux + x = 0 + 10u 3ux + x = 0 + 10u Remove the zero: 3ux + x = 10u Add '-3ux' to each side of the equation. 3ux + -3ux + x = 10u + -3ux Combine like terms: 3ux + -3ux = 0 0 + x = 10u + -3ux x = 10u + -3ux Add '-1x' to each side of the equation. x + -1x = 10u + -3ux + -1x Combine like terms: x + -1x = 0 0 = 10u + -3ux + -1x Simplifying 0 = 10u + -3ux + -1x 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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