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Simplifying (5x)(5x) + 10x = -4 Remove parenthesis around (5x) 5x(5x) + 10x = -4 Remove parenthesis around (5x) 5x * 5x + 10x = -4 Reorder the terms for easier multiplication: 5 * 5x * x + 10x = -4 Multiply 5 * 5 25x * x + 10x = -4 Multiply x * x 25x2 + 10x = -4 Reorder the terms: 10x + 25x2 = -4 Solving 10x + 25x2 = -4 Solving for variable 'x'. Reorder the terms: 4 + 10x + 25x2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 10x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.16 + 0.4x + x2 = 0 Move the constant term to the right: Add '-0.16' to each side of the equation. 0.16 + 0.4x + -0.16 + x2 = 0 + -0.16 Reorder the terms: 0.16 + -0.16 + 0.4x + x2 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 0.4x + x2 = 0 + -0.16 0.4x + x2 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 0.4x + x2 = -0.16 The x term is 0.4x. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4x + 0.04 + x2 = -0.16 + 0.04 Reorder the terms: 0.04 + 0.4x + x2 = -0.16 + 0.04 Combine like terms: -0.16 + 0.04 = -0.12 0.04 + 0.4x + x2 = -0.12 Factor a perfect square on the left side: (x + 0.2)(x + 0.2) = -0.12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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