If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x = (x + 0.2)(2x + 0.1) Reorder the terms: x = (0.2 + x)(2x + 0.1) Reorder the terms: x = (0.2 + x)(0.1 + 2x) Multiply (0.2 + x) * (0.1 + 2x) x = (0.2(0.1 + 2x) + x(0.1 + 2x)) x = ((0.1 * 0.2 + 2x * 0.2) + x(0.1 + 2x)) x = ((0.02 + 0.4x) + x(0.1 + 2x)) x = (0.02 + 0.4x + (0.1 * x + 2x * x)) x = (0.02 + 0.4x + (0.1x + 2x2)) Combine like terms: 0.4x + 0.1x = 0.5x x = (0.02 + 0.5x + 2x2) Solving x = 0.02 + 0.5x + 2x2 Solving for variable 'x'. Reorder the terms: -0.02 + x + -0.5x + -2x2 = 0.02 + 0.5x + 2x2 + -0.02 + -0.5x + -2x2 Combine like terms: x + -0.5x = 0.5x -0.02 + 0.5x + -2x2 = 0.02 + 0.5x + 2x2 + -0.02 + -0.5x + -2x2 Reorder the terms: -0.02 + 0.5x + -2x2 = 0.02 + -0.02 + 0.5x + -0.5x + 2x2 + -2x2 Combine like terms: 0.02 + -0.02 = 0.00 -0.02 + 0.5x + -2x2 = 0.00 + 0.5x + -0.5x + 2x2 + -2x2 -0.02 + 0.5x + -2x2 = 0.5x + -0.5x + 2x2 + -2x2 Combine like terms: 0.5x + -0.5x = 0.0 -0.02 + 0.5x + -2x2 = 0.0 + 2x2 + -2x2 -0.02 + 0.5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -0.02 + 0.5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 0.01 + -0.25x + x2 = 0 Move the constant term to the right: Add '-0.01' to each side of the equation. 0.01 + -0.25x + -0.01 + x2 = 0 + -0.01 Reorder the terms: 0.01 + -0.01 + -0.25x + x2 = 0 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + -0.25x + x2 = 0 + -0.01 -0.25x + x2 = 0 + -0.01 Combine like terms: 0 + -0.01 = -0.01 -0.25x + x2 = -0.01 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -0.01 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -0.01 + 0.015625 Combine like terms: -0.01 + 0.015625 = 0.005625 0.015625 + -0.25x + x2 = 0.005625 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = 0.005625 Calculate the square root of the right side: 0.075 Break this problem into two subproblems by setting (x + -0.125) equal to 0.075 and -0.075.Subproblem 1
x + -0.125 = 0.075 Simplifying x + -0.125 = 0.075 Reorder the terms: -0.125 + x = 0.075 Solving -0.125 + x = 0.075 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + x = 0.075 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + x = 0.075 + 0.125 x = 0.075 + 0.125 Combine like terms: 0.075 + 0.125 = 0.2 x = 0.2 Simplifying x = 0.2Subproblem 2
x + -0.125 = -0.075 Simplifying x + -0.125 = -0.075 Reorder the terms: -0.125 + x = -0.075 Solving -0.125 + x = -0.075 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + x = -0.075 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + x = -0.075 + 0.125 x = -0.075 + 0.125 Combine like terms: -0.075 + 0.125 = 0.05 x = 0.05 Simplifying x = 0.05Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.2, 0.05}
| 2(2x-5)+8=-4-7(1+x) | | 32-10x=11+11x | | 2(x-4)-(x+2)= | | 9/12t-10/12=8/12t | | (64x^15)^-1/3 | | 8x-36=90 | | 2y^2+y-(1+2y)=13 | | 11d+5=4d+47 | | z^4-3iz^2-2=0 | | -9K=81 | | -6x+7-9x= | | 6y-7-4y+2=0 | | 8w-12=4w+16 | | 260.52x-.1x^2-7815.60+.3x^2=p | | 2t-4t^2=10 | | g(x)=2f(x-2) | | x*x+8-560=0 | | 15x-2=45x+4 | | 115-4F-23=-6F-44 | | Log[3]81=2x | | 12z+7z= | | 3(2x-5)=9x-6 | | 7y-(2y+9)= | | ln(x+1)-ln(4)=0 | | 25-4a=5a-11 | | 6u-6u= | | 51+(7x-3)=90 | | 5(y+5)=10 | | x=27+4y | | 6x^2+19-10=0 | | 5sin^2x=4cos^2x | | x=4y+27 |