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Simplifying (4a + -3b)(x + -6b) = 0 Reorder the terms: (4a + -3b)(-6b + x) = 0 Multiply (4a + -3b) * (-6b + x) (4a * (-6b + x) + -3b * (-6b + x)) = 0 ((-6b * 4a + x * 4a) + -3b * (-6b + x)) = 0 ((-24ab + 4ax) + -3b * (-6b + x)) = 0 (-24ab + 4ax + (-6b * -3b + x * -3b)) = 0 Reorder the terms: (-24ab + 4ax + (-3bx + 18b2)) = 0 (-24ab + 4ax + (-3bx + 18b2)) = 0 (-24ab + 4ax + -3bx + 18b2) = 0 Solving -24ab + 4ax + -3bx + 18b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3bx' to each side of the equation. -24ab + 4ax + -3bx + 3bx + 18b2 = 0 + 3bx Combine like terms: -3bx + 3bx = 0 -24ab + 4ax + 0 + 18b2 = 0 + 3bx -24ab + 4ax + 18b2 = 0 + 3bx Remove the zero: -24ab + 4ax + 18b2 = 3bx Add '-18b2' to each side of the equation. -24ab + 4ax + 18b2 + -18b2 = 3bx + -18b2 Combine like terms: 18b2 + -18b2 = 0 -24ab + 4ax + 0 = 3bx + -18b2 -24ab + 4ax = 3bx + -18b2 Reorder the terms: -24ab + 4ax + -3bx + 18b2 = 3bx + -3bx + -18b2 + 18b2 Combine like terms: 3bx + -3bx = 0 -24ab + 4ax + -3bx + 18b2 = 0 + -18b2 + 18b2 -24ab + 4ax + -3bx + 18b2 = -18b2 + 18b2 Combine like terms: -18b2 + 18b2 = 0 -24ab + 4ax + -3bx + 18b2 = 0 The solution to this equation could not be determined.
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