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Simplifying 7x(7x + -6) = -18 Reorder the terms: 7x(-6 + 7x) = -18 (-6 * 7x + 7x * 7x) = -18 (-42x + 49x2) = -18 Solving -42x + 49x2 = -18 Solving for variable 'x'. Reorder the terms: 18 + -42x + 49x2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -42x + 49x2 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.3673469388 + -0.8571428571x + x2 = 0 Move the constant term to the right: Add '-0.3673469388' to each side of the equation. 0.3673469388 + -0.8571428571x + -0.3673469388 + x2 = 0 + -0.3673469388 Reorder the terms: 0.3673469388 + -0.3673469388 + -0.8571428571x + x2 = 0 + -0.3673469388 Combine like terms: 0.3673469388 + -0.3673469388 = 0.0000000000 0.0000000000 + -0.8571428571x + x2 = 0 + -0.3673469388 -0.8571428571x + x2 = 0 + -0.3673469388 Combine like terms: 0 + -0.3673469388 = -0.3673469388 -0.8571428571x + x2 = -0.3673469388 The x term is -0.8571428571x. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571x + 0.1836734694 + x2 = -0.3673469388 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571x + x2 = -0.3673469388 + 0.1836734694 Combine like terms: -0.3673469388 + 0.1836734694 = -0.1836734694 0.1836734694 + -0.8571428571x + x2 = -0.1836734694 Factor a perfect square on the left side: (x + -0.4285714286)(x + -0.4285714286) = -0.1836734694 Can't calculate square root of the right side. The solution to this equation could not be determined.
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