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Simplifying (3x + -4)(3x + -4) + 10 = 0 Reorder the terms: (-4 + 3x)(3x + -4) + 10 = 0 Reorder the terms: (-4 + 3x)(-4 + 3x) + 10 = 0 Multiply (-4 + 3x) * (-4 + 3x) (-4(-4 + 3x) + 3x * (-4 + 3x)) + 10 = 0 ((-4 * -4 + 3x * -4) + 3x * (-4 + 3x)) + 10 = 0 ((16 + -12x) + 3x * (-4 + 3x)) + 10 = 0 (16 + -12x + (-4 * 3x + 3x * 3x)) + 10 = 0 (16 + -12x + (-12x + 9x2)) + 10 = 0 Combine like terms: -12x + -12x = -24x (16 + -24x + 9x2) + 10 = 0 Reorder the terms: 16 + 10 + -24x + 9x2 = 0 Combine like terms: 16 + 10 = 26 26 + -24x + 9x2 = 0 Solving 26 + -24x + 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'. 2.888888889 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '-2.888888889' to each side of the equation. 2.888888889 + -2.666666667x + -2.888888889 + x2 = 0 + -2.888888889 Reorder the terms: 2.888888889 + -2.888888889 + -2.666666667x + x2 = 0 + -2.888888889 Combine like terms: 2.888888889 + -2.888888889 = 0.000000000 0.000000000 + -2.666666667x + x2 = 0 + -2.888888889 -2.666666667x + x2 = 0 + -2.888888889 Combine like terms: 0 + -2.888888889 = -2.888888889 -2.666666667x + x2 = -2.888888889 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = -2.888888889 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = -2.888888889 + 1.777777780 Combine like terms: -2.888888889 + 1.777777780 = -1.111111109 1.777777780 + -2.666666667x + x2 = -1.111111109 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = -1.111111109 Can't calculate square root of the right side. The solution to this equation could not be determined.
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