If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (10x + 1)(5x + -1) = 61 Reorder the terms: (1 + 10x)(5x + -1) = 61 Reorder the terms: (1 + 10x)(-1 + 5x) = 61 Multiply (1 + 10x) * (-1 + 5x) (1(-1 + 5x) + 10x * (-1 + 5x)) = 61 ((-1 * 1 + 5x * 1) + 10x * (-1 + 5x)) = 61 ((-1 + 5x) + 10x * (-1 + 5x)) = 61 (-1 + 5x + (-1 * 10x + 5x * 10x)) = 61 (-1 + 5x + (-10x + 50x2)) = 61 Combine like terms: 5x + -10x = -5x (-1 + -5x + 50x2) = 61 Solving -1 + -5x + 50x2 = 61 Solving for variable 'x'. Reorder the terms: -1 + -61 + -5x + 50x2 = 61 + -61 Combine like terms: -1 + -61 = -62 -62 + -5x + 50x2 = 61 + -61 Combine like terms: 61 + -61 = 0 -62 + -5x + 50x2 = 0 Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. -1.24 + -0.1x + x2 = 0.0 Move the constant term to the right: Add '1.24' to each side of the equation. -1.24 + -0.1x + 1.24 + x2 = 0.0 + 1.24 Reorder the terms: -1.24 + 1.24 + -0.1x + x2 = 0.0 + 1.24 Combine like terms: -1.24 + 1.24 = 0.00 0.00 + -0.1x + x2 = 0.0 + 1.24 -0.1x + x2 = 0.0 + 1.24 Combine like terms: 0.0 + 1.24 = 1.24 -0.1x + x2 = 1.24 The x term is -0.1x. Take half its coefficient (-0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. -0.1x + 0.0025 + x2 = 1.24 + 0.0025 Reorder the terms: 0.0025 + -0.1x + x2 = 1.24 + 0.0025 Combine like terms: 1.24 + 0.0025 = 1.2425 0.0025 + -0.1x + x2 = 1.2425 Factor a perfect square on the left side: (x + -0.05)(x + -0.05) = 1.2425 Calculate the square root of the right side: 1.11467484 Break this problem into two subproblems by setting (x + -0.05) equal to 1.11467484 and -1.11467484.Subproblem 1
x + -0.05 = 1.11467484 Simplifying x + -0.05 = 1.11467484 Reorder the terms: -0.05 + x = 1.11467484 Solving -0.05 + x = 1.11467484 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05' to each side of the equation. -0.05 + 0.05 + x = 1.11467484 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + x = 1.11467484 + 0.05 x = 1.11467484 + 0.05 Combine like terms: 1.11467484 + 0.05 = 1.16467484 x = 1.16467484 Simplifying x = 1.16467484Subproblem 2
x + -0.05 = -1.11467484 Simplifying x + -0.05 = -1.11467484 Reorder the terms: -0.05 + x = -1.11467484 Solving -0.05 + x = -1.11467484 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05' to each side of the equation. -0.05 + 0.05 + x = -1.11467484 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + x = -1.11467484 + 0.05 x = -1.11467484 + 0.05 Combine like terms: -1.11467484 + 0.05 = -1.06467484 x = -1.06467484 Simplifying x = -1.06467484Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.16467484, -1.06467484}
| -15x=-33-5x | | -23+7y+9p-5y-5p+18= | | -0188.5x+16=10 | | -35=5-4y | | p=n(120-n)(-50n) | | (x)(x+3)(3)=150 | | 4+9x=-4+x | | -x^2-2x+11=0 | | 2y+6=-b+3 | | (r-1)(1-1)=0 | | x^2+5x-17=x-5 | | 15=-5u | | 11/12x7/12= | | 7+30x=15x+19 | | 60-3x=10-8x | | x*x-10x=0 | | 9(0)-7y=-63 | | D+d+d+d+12=d+30 | | 5x-8=62-9x | | 0.33(3x+6)=7 | | x^2/25x^2 | | 13.6+9y=-2 | | W+w+w+10=w+w+21 | | 4x=8/9 | | cos*4*x-7*cos*2*x-8=0 | | 5x+13=-64-6x | | 3s+70=10s+14 | | -1=5/(x^2-1) | | 6c*7d= | | 6x+28=2x+144 | | (x+16)+(6x-4)=180 | | 6c/7d |