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Simplifying 7(3x) + 8(5x) + -3x2 = 364 Remove parenthesis around (3x) 7 * 3x + 8(5x) + -3x2 = 364 Multiply 7 * 3 21x + 8(5x) + -3x2 = 364 Remove parenthesis around (5x) 21x + 8 * 5x + -3x2 = 364 Multiply 8 * 5 21x + 40x + -3x2 = 364 Combine like terms: 21x + 40x = 61x 61x + -3x2 = 364 Solving 61x + -3x2 = 364 Solving for variable 'x'. Reorder the terms: -364 + 61x + -3x2 = 364 + -364 Combine like terms: 364 + -364 = 0 -364 + 61x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 121.3333333 + -20.33333333x + x2 = 0 Move the constant term to the right: Add '-121.3333333' to each side of the equation. 121.3333333 + -20.33333333x + -121.3333333 + x2 = 0 + -121.3333333 Reorder the terms: 121.3333333 + -121.3333333 + -20.33333333x + x2 = 0 + -121.3333333 Combine like terms: 121.3333333 + -121.3333333 = 0.0000000 0.0000000 + -20.33333333x + x2 = 0 + -121.3333333 -20.33333333x + x2 = 0 + -121.3333333 Combine like terms: 0 + -121.3333333 = -121.3333333 -20.33333333x + x2 = -121.3333333 The x term is -20.33333333x. Take half its coefficient (-10.16666667). Square it (103.3611112) and add it to both sides. Add '103.3611112' to each side of the equation. -20.33333333x + 103.3611112 + x2 = -121.3333333 + 103.3611112 Reorder the terms: 103.3611112 + -20.33333333x + x2 = -121.3333333 + 103.3611112 Combine like terms: -121.3333333 + 103.3611112 = -17.9722221 103.3611112 + -20.33333333x + x2 = -17.9722221 Factor a perfect square on the left side: (x + -10.16666667)(x + -10.16666667) = -17.9722221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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