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Simplifying (3x2 + 11 + 20) + (10x2 + -21x + -3) = 0 Reorder the terms: (11 + 20 + 3x2) + (10x2 + -21x + -3) = 0 Combine like terms: 11 + 20 = 31 (31 + 3x2) + (10x2 + -21x + -3) = 0 Remove parenthesis around (31 + 3x2) 31 + 3x2 + (10x2 + -21x + -3) = 0 Reorder the terms: 31 + 3x2 + (-3 + -21x + 10x2) = 0 Remove parenthesis around (-3 + -21x + 10x2) 31 + 3x2 + -3 + -21x + 10x2 = 0 Reorder the terms: 31 + -3 + -21x + 3x2 + 10x2 = 0 Combine like terms: 31 + -3 = 28 28 + -21x + 3x2 + 10x2 = 0 Combine like terms: 3x2 + 10x2 = 13x2 28 + -21x + 13x2 = 0 Solving 28 + -21x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 2.153846154 + -1.615384615x + x2 = 0 Move the constant term to the right: Add '-2.153846154' to each side of the equation. 2.153846154 + -1.615384615x + -2.153846154 + x2 = 0 + -2.153846154 Reorder the terms: 2.153846154 + -2.153846154 + -1.615384615x + x2 = 0 + -2.153846154 Combine like terms: 2.153846154 + -2.153846154 = 0.000000000 0.000000000 + -1.615384615x + x2 = 0 + -2.153846154 -1.615384615x + x2 = 0 + -2.153846154 Combine like terms: 0 + -2.153846154 = -2.153846154 -1.615384615x + x2 = -2.153846154 The x term is -1.615384615x. Take half its coefficient (-0.8076923075). Square it (0.6523668636) and add it to both sides. Add '0.6523668636' to each side of the equation. -1.615384615x + 0.6523668636 + x2 = -2.153846154 + 0.6523668636 Reorder the terms: 0.6523668636 + -1.615384615x + x2 = -2.153846154 + 0.6523668636 Combine like terms: -2.153846154 + 0.6523668636 = -1.5014792904 0.6523668636 + -1.615384615x + x2 = -1.5014792904 Factor a perfect square on the left side: (x + -0.8076923075)(x + -0.8076923075) = -1.5014792904 Can't calculate square root of the right side. The solution to this equation could not be determined.
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