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Simplifying 3x(4x + 3) = 2x + -5(3 + -1x) + 2 Reorder the terms: 3x(3 + 4x) = 2x + -5(3 + -1x) + 2 (3 * 3x + 4x * 3x) = 2x + -5(3 + -1x) + 2 (9x + 12x2) = 2x + -5(3 + -1x) + 2 9x + 12x2 = 2x + (3 * -5 + -1x * -5) + 2 9x + 12x2 = 2x + (-15 + 5x) + 2 Reorder the terms: 9x + 12x2 = -15 + 2 + 2x + 5x Combine like terms: -15 + 2 = -13 9x + 12x2 = -13 + 2x + 5x Combine like terms: 2x + 5x = 7x 9x + 12x2 = -13 + 7x Solving 9x + 12x2 = -13 + 7x Solving for variable 'x'. Reorder the terms: 13 + 9x + -7x + 12x2 = -13 + 7x + 13 + -7x Combine like terms: 9x + -7x = 2x 13 + 2x + 12x2 = -13 + 7x + 13 + -7x Reorder the terms: 13 + 2x + 12x2 = -13 + 13 + 7x + -7x Combine like terms: -13 + 13 = 0 13 + 2x + 12x2 = 0 + 7x + -7x 13 + 2x + 12x2 = 7x + -7x Combine like terms: 7x + -7x = 0 13 + 2x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.083333333 + 0.1666666667x + x2 = 0 Move the constant term to the right: Add '-1.083333333' to each side of the equation. 1.083333333 + 0.1666666667x + -1.083333333 + x2 = 0 + -1.083333333 Reorder the terms: 1.083333333 + -1.083333333 + 0.1666666667x + x2 = 0 + -1.083333333 Combine like terms: 1.083333333 + -1.083333333 = 0.000000000 0.000000000 + 0.1666666667x + x2 = 0 + -1.083333333 0.1666666667x + x2 = 0 + -1.083333333 Combine like terms: 0 + -1.083333333 = -1.083333333 0.1666666667x + x2 = -1.083333333 The x term is 0.1666666667x. Take half its coefficient (0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. 0.1666666667x + 0.006944444447 + x2 = -1.083333333 + 0.006944444447 Reorder the terms: 0.006944444447 + 0.1666666667x + x2 = -1.083333333 + 0.006944444447 Combine like terms: -1.083333333 + 0.006944444447 = -1.076388888553 0.006944444447 + 0.1666666667x + x2 = -1.076388888553 Factor a perfect square on the left side: (x + 0.08333333335)(x + 0.08333333335) = -1.076388888553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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