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Simplifying 7b(7a + -3c) + -5d(7a + -3c) = 0 (7a * 7b + -3c * 7b) + -5d(7a + -3c) = 0 (49ab + -21bc) + -5d(7a + -3c) = 0 49ab + -21bc + (7a * -5d + -3c * -5d) = 0 49ab + -21bc + (-35ad + 15cd) = 0 Reorder the terms: 49ab + -35ad + -21bc + 15cd = 0 Solving 49ab + -35ad + -21bc + 15cd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21bc' to each side of the equation. 49ab + -35ad + -21bc + 21bc + 15cd = 0 + 21bc Combine like terms: -21bc + 21bc = 0 49ab + -35ad + 0 + 15cd = 0 + 21bc 49ab + -35ad + 15cd = 0 + 21bc Remove the zero: 49ab + -35ad + 15cd = 21bc Add '-15cd' to each side of the equation. 49ab + -35ad + 15cd + -15cd = 21bc + -15cd Combine like terms: 15cd + -15cd = 0 49ab + -35ad + 0 = 21bc + -15cd 49ab + -35ad = 21bc + -15cd Reorder the terms: 49ab + -35ad + -21bc + 15cd = 21bc + -21bc + -15cd + 15cd Combine like terms: 21bc + -21bc = 0 49ab + -35ad + -21bc + 15cd = 0 + -15cd + 15cd 49ab + -35ad + -21bc + 15cd = -15cd + 15cd Combine like terms: -15cd + 15cd = 0 49ab + -35ad + -21bc + 15cd = 0 The solution to this equation could not be determined.
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