If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 13x2 + 6x = 20 Reorder the terms: 6x + 13x2 = 20 Solving 6x + 13x2 = 20 Solving for variable 'x'. Reorder the terms: -20 + 6x + 13x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 6x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. -1.538461538 + 0.4615384615x + x2 = 0 Move the constant term to the right: Add '1.538461538' to each side of the equation. -1.538461538 + 0.4615384615x + 1.538461538 + x2 = 0 + 1.538461538 Reorder the terms: -1.538461538 + 1.538461538 + 0.4615384615x + x2 = 0 + 1.538461538 Combine like terms: -1.538461538 + 1.538461538 = 0.000000000 0.000000000 + 0.4615384615x + x2 = 0 + 1.538461538 0.4615384615x + x2 = 0 + 1.538461538 Combine like terms: 0 + 1.538461538 = 1.538461538 0.4615384615x + x2 = 1.538461538 The x term is 0.4615384615x. Take half its coefficient (0.2307692308). Square it (0.05325443788) and add it to both sides. Add '0.05325443788' to each side of the equation. 0.4615384615x + 0.05325443788 + x2 = 1.538461538 + 0.05325443788 Reorder the terms: 0.05325443788 + 0.4615384615x + x2 = 1.538461538 + 0.05325443788 Combine like terms: 1.538461538 + 0.05325443788 = 1.59171597588 0.05325443788 + 0.4615384615x + x2 = 1.59171597588 Factor a perfect square on the left side: (x + 0.2307692308)(x + 0.2307692308) = 1.59171597588 Calculate the square root of the right side: 1.261632267 Break this problem into two subproblems by setting (x + 0.2307692308) equal to 1.261632267 and -1.261632267.Subproblem 1
x + 0.2307692308 = 1.261632267 Simplifying x + 0.2307692308 = 1.261632267 Reorder the terms: 0.2307692308 + x = 1.261632267 Solving 0.2307692308 + x = 1.261632267 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2307692308' to each side of the equation. 0.2307692308 + -0.2307692308 + x = 1.261632267 + -0.2307692308 Combine like terms: 0.2307692308 + -0.2307692308 = 0.0000000000 0.0000000000 + x = 1.261632267 + -0.2307692308 x = 1.261632267 + -0.2307692308 Combine like terms: 1.261632267 + -0.2307692308 = 1.0308630362 x = 1.0308630362 Simplifying x = 1.0308630362Subproblem 2
x + 0.2307692308 = -1.261632267 Simplifying x + 0.2307692308 = -1.261632267 Reorder the terms: 0.2307692308 + x = -1.261632267 Solving 0.2307692308 + x = -1.261632267 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2307692308' to each side of the equation. 0.2307692308 + -0.2307692308 + x = -1.261632267 + -0.2307692308 Combine like terms: 0.2307692308 + -0.2307692308 = 0.0000000000 0.0000000000 + x = -1.261632267 + -0.2307692308 x = -1.261632267 + -0.2307692308 Combine like terms: -1.261632267 + -0.2307692308 = -1.4924014978 x = -1.4924014978 Simplifying x = -1.4924014978Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.0308630362, -1.4924014978}
| 5x^2-29x=4x^2-7x-8 | | 5x+30x-6=35x+7 | | 0.66x+0.50=2.50 | | 6(x+8)+2(x-9)=-2x+40 | | (x+7)(x-1)=(2x+1) | | 4(x+3)-4=8x+7 | | 9H+H=110 | | y=150x-5x^2+2000 | | 2x+20=8x-4 | | -6=3(b-8)+8(2b+7) | | 5x-(4-3x)=10x-2(x+2) | | 9=-3(2x+1) | | 6x+10x=x | | (8-5x)-(6-3x)= | | -5(x+3)=6-(-3) | | 4(3x-9)-5=4(x-3)+27 | | 17w-19w=-12 | | -3x+8-4(x-1)=(2x-6)-4x+4 | | 3(3x-1)=7x+15 | | 100=50+10x | | mw+mz=tform | | 2x+1.05=3.56 | | 210=15n | | (8-5x)+(6-3x)= | | 13=-2x+5 | | 18x-(7x-3)=58 | | 10x+1+8(x-1)=x-8 | | log(x)=0.47 | | a+3-2=-2 | | 13x-3=8x-18 | | 8(4x-1)+8(-4-8x)=56 | | 1+10b-3=28 |