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Simplifying ab4 + -49a3b2 = 0 Solving ab4 + -49a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab2'. ab2(b2 + -49a2) = 0 Factor a difference between two squares. ab2((b + 7a)(b + -7a)) = 0Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 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 '(b + 7a)' equal to zero and attempt to solve: Simplifying b + 7a = 0 Reorder the terms: 7a + b = 0 Solving 7a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 7a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 7a + 0 = 0 + -1b 7a = 0 + -1b Remove the zero: 7a = -1b Divide each side by '7'. a = -0.1428571429b Simplifying a = -0.1428571429bSubproblem 3
Set the factor '(b + -7a)' equal to zero and attempt to solve: Simplifying b + -7a = 0 Reorder the terms: -7a + b = 0 Solving -7a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -7a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -7a + 0 = 0 + -1b -7a = 0 + -1b Remove the zero: -7a = -1b Divide each side by '-7'. a = 0.1428571429b Simplifying a = 0.1428571429bSolution
a = {-0.1428571429b, 0.1428571429b}
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