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Simplifying 56ab + 49a + 224b2 + 196b = 0 Reorder the terms: 49a + 56ab + 196b + 224b2 = 0 Solving 49a + 56ab + 196b + 224b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-196b' to each side of the equation. 49a + 56ab + 196b + -196b + 224b2 = 0 + -196b Combine like terms: 196b + -196b = 0 49a + 56ab + 0 + 224b2 = 0 + -196b 49a + 56ab + 224b2 = 0 + -196b Remove the zero: 49a + 56ab + 224b2 = -196b Add '-224b2' to each side of the equation. 49a + 56ab + 224b2 + -224b2 = -196b + -224b2 Combine like terms: 224b2 + -224b2 = 0 49a + 56ab + 0 = -196b + -224b2 49a + 56ab = -196b + -224b2 Reorder the terms: 49a + 56ab + 196b + 224b2 = -196b + 196b + -224b2 + 224b2 Combine like terms: -196b + 196b = 0 49a + 56ab + 196b + 224b2 = 0 + -224b2 + 224b2 49a + 56ab + 196b + 224b2 = -224b2 + 224b2 Combine like terms: -224b2 + 224b2 = 0 49a + 56ab + 196b + 224b2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(7a + 8ab + 28b + 32b2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(7a + 8ab + 28b + 32b2)' equal to zero and attempt to solve: Simplifying 7a + 8ab + 28b + 32b2 = 0 Solving 7a + 8ab + 28b + 32b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-28b' to each side of the equation. 7a + 8ab + 28b + -28b + 32b2 = 0 + -28b Combine like terms: 28b + -28b = 0 7a + 8ab + 0 + 32b2 = 0 + -28b 7a + 8ab + 32b2 = 0 + -28b Remove the zero: 7a + 8ab + 32b2 = -28b Add '-32b2' to each side of the equation. 7a + 8ab + 32b2 + -32b2 = -28b + -32b2 Combine like terms: 32b2 + -32b2 = 0 7a + 8ab + 0 = -28b + -32b2 7a + 8ab = -28b + -32b2 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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