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Simplifying (13x2 + 2) + -1(4x2 + 2x + -7) = 0 Reorder the terms: (2 + 13x2) + -1(4x2 + 2x + -7) = 0 Remove parenthesis around (2 + 13x2) 2 + 13x2 + -1(4x2 + 2x + -7) = 0 Reorder the terms: 2 + 13x2 + -1(-7 + 2x + 4x2) = 0 2 + 13x2 + (-7 * -1 + 2x * -1 + 4x2 * -1) = 0 2 + 13x2 + (7 + -2x + -4x2) = 0 Reorder the terms: 2 + 7 + -2x + 13x2 + -4x2 = 0 Combine like terms: 2 + 7 = 9 9 + -2x + 13x2 + -4x2 = 0 Combine like terms: 13x2 + -4x2 = 9x2 9 + -2x + 9x2 = 0 Solving 9 + -2x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.2222222222x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.2222222222x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2222222222x + x2 = 0 + -1 -0.2222222222x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2222222222x + x2 = -1 The x term is -0.2222222222x. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222x + 0.01234567901 + x2 = -1 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -1 + 0.01234567901 Combine like terms: -1 + 0.01234567901 = -0.98765432099 0.01234567901 + -0.2222222222x + x2 = -0.98765432099 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -0.98765432099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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