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Simplifying 7x(7x) + -18x + 12 = 0 Remove parenthesis around (7x) 7x * 7x + -18x + 12 = 0 Reorder the terms for easier multiplication: 7 * 7x * x + -18x + 12 = 0 Multiply 7 * 7 49x * x + -18x + 12 = 0 Multiply x * x 49x2 + -18x + 12 = 0 Reorder the terms: 12 + -18x + 49x2 = 0 Solving 12 + -18x + 49x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.2448979592 + -0.3673469388x + x2 = 0 Move the constant term to the right: Add '-0.2448979592' to each side of the equation. 0.2448979592 + -0.3673469388x + -0.2448979592 + x2 = 0 + -0.2448979592 Reorder the terms: 0.2448979592 + -0.2448979592 + -0.3673469388x + x2 = 0 + -0.2448979592 Combine like terms: 0.2448979592 + -0.2448979592 = 0.0000000000 0.0000000000 + -0.3673469388x + x2 = 0 + -0.2448979592 -0.3673469388x + x2 = 0 + -0.2448979592 Combine like terms: 0 + -0.2448979592 = -0.2448979592 -0.3673469388x + x2 = -0.2448979592 The x term is -0.3673469388x. Take half its coefficient (-0.1836734694). Square it (0.03373594336) and add it to both sides. Add '0.03373594336' to each side of the equation. -0.3673469388x + 0.03373594336 + x2 = -0.2448979592 + 0.03373594336 Reorder the terms: 0.03373594336 + -0.3673469388x + x2 = -0.2448979592 + 0.03373594336 Combine like terms: -0.2448979592 + 0.03373594336 = -0.21116201584 0.03373594336 + -0.3673469388x + x2 = -0.21116201584 Factor a perfect square on the left side: (x + -0.1836734694)(x + -0.1836734694) = -0.21116201584 Can't calculate square root of the right side. The solution to this equation could not be determined.
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