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Simplifying -5(2a + -3b) + 5(3b * 2a) = 0 (2a * -5 + -3b * -5) + 5(3b * 2a) = 0 (-10a + 15b) + 5(3b * 2a) = 0 Reorder the terms for easier multiplication: -10a + 15b + 5(3 * 2b * a) = 0 Multiply 3 * 2 -10a + 15b + 5(6b * a) = 0 Multiply b * a -10a + 15b + 5(6ab) = 0 Remove parenthesis around (6ab) -10a + 15b + 5 * 6ab = 0 Multiply 5 * 6 -10a + 15b + 30ab = 0 Reorder the terms: -10a + 30ab + 15b = 0 Solving -10a + 30ab + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. -10a + 30ab + 15b + -15b = 0 + -15b Combine like terms: 15b + -15b = 0 -10a + 30ab + 0 = 0 + -15b -10a + 30ab = 0 + -15b Remove the zero: -10a + 30ab = -15b Combine like terms: -15b + 15b = 0 -10a + 30ab + 15b = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-2a + 6ab + 3b) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2a + 6ab + 3b)' equal to zero and attempt to solve: Simplifying -2a + 6ab + 3b = 0 Solving -2a + 6ab + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -2a + 6ab + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -2a + 6ab + 0 = 0 + -3b -2a + 6ab = 0 + -3b Remove the zero: -2a + 6ab = -3b 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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