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Simplifying 15a2 + -3a = 3 + -7 Reorder the terms: -3a + 15a2 = 3 + -7 Combine like terms: 3 + -7 = -4 -3a + 15a2 = -4 Solving -3a + 15a2 = -4 Solving for variable 'a'. Reorder the terms: 4 + -3a + 15a2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -3a + 15a2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.2666666667 + -0.2a + a2 = 0 Move the constant term to the right: Add '-0.2666666667' to each side of the equation. 0.2666666667 + -0.2a + -0.2666666667 + a2 = 0 + -0.2666666667 Reorder the terms: 0.2666666667 + -0.2666666667 + -0.2a + a2 = 0 + -0.2666666667 Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000 0.0000000000 + -0.2a + a2 = 0 + -0.2666666667 -0.2a + a2 = 0 + -0.2666666667 Combine like terms: 0 + -0.2666666667 = -0.2666666667 -0.2a + a2 = -0.2666666667 The a term is -0.2a. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2a + 0.01 + a2 = -0.2666666667 + 0.01 Reorder the terms: 0.01 + -0.2a + a2 = -0.2666666667 + 0.01 Combine like terms: -0.2666666667 + 0.01 = -0.2566666667 0.01 + -0.2a + a2 = -0.2566666667 Factor a perfect square on the left side: (a + -0.1)(a + -0.1) = -0.2566666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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