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Simplifying -5x(-7x + 7) + 4(x + 4) = 0 Reorder the terms: -5x(7 + -7x) + 4(x + 4) = 0 (7 * -5x + -7x * -5x) + 4(x + 4) = 0 (-35x + 35x2) + 4(x + 4) = 0 Reorder the terms: -35x + 35x2 + 4(4 + x) = 0 -35x + 35x2 + (4 * 4 + x * 4) = 0 -35x + 35x2 + (16 + 4x) = 0 Reorder the terms: 16 + -35x + 4x + 35x2 = 0 Combine like terms: -35x + 4x = -31x 16 + -31x + 35x2 = 0 Solving 16 + -31x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.4571428571 + -0.8857142857x + x2 = 0 Move the constant term to the right: Add '-0.4571428571' to each side of the equation. 0.4571428571 + -0.8857142857x + -0.4571428571 + x2 = 0 + -0.4571428571 Reorder the terms: 0.4571428571 + -0.4571428571 + -0.8857142857x + x2 = 0 + -0.4571428571 Combine like terms: 0.4571428571 + -0.4571428571 = 0.0000000000 0.0000000000 + -0.8857142857x + x2 = 0 + -0.4571428571 -0.8857142857x + x2 = 0 + -0.4571428571 Combine like terms: 0 + -0.4571428571 = -0.4571428571 -0.8857142857x + x2 = -0.4571428571 The x term is -0.8857142857x. Take half its coefficient (-0.4428571429). Square it (0.1961224490) and add it to both sides. Add '0.1961224490' to each side of the equation. -0.8857142857x + 0.1961224490 + x2 = -0.4571428571 + 0.1961224490 Reorder the terms: 0.1961224490 + -0.8857142857x + x2 = -0.4571428571 + 0.1961224490 Combine like terms: -0.4571428571 + 0.1961224490 = -0.2610204081 0.1961224490 + -0.8857142857x + x2 = -0.2610204081 Factor a perfect square on the left side: (x + -0.4428571429)(x + -0.4428571429) = -0.2610204081 Can't calculate square root of the right side. The solution to this equation could not be determined.
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