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Simplifying 7ax + -15ax2 + -5x2 = 0 Solving 7ax + -15ax2 + -5x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5x2' to each side of the equation. 7ax + -15ax2 + -5x2 + 5x2 = 0 + 5x2 Combine like terms: -5x2 + 5x2 = 0 7ax + -15ax2 + 0 = 0 + 5x2 7ax + -15ax2 = 0 + 5x2 Remove the zero: 7ax + -15ax2 = 5x2 Combine like terms: 5x2 + -5x2 = 0 7ax + -15ax2 + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7a + -15ax + -5x) = 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 '(7a + -15ax + -5x)' equal to zero and attempt to solve: Simplifying 7a + -15ax + -5x = 0 Solving 7a + -15ax + -5x = 0 Move all terms containing a to the left, all other terms to the right. Add '5x' to each side of the equation. 7a + -15ax + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 7a + -15ax + 0 = 0 + 5x 7a + -15ax = 0 + 5x Remove the zero: 7a + -15ax = 5x 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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