If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10.1 = 0.1825x2 + 1.4254x Reorder the terms: 10.1 = 1.4254x + 0.1825x2 Solving 10.1 = 1.4254x + 0.1825x2 Solving for variable 'x'. Reorder the terms: 10.1 + -1.4254x + -0.1825x2 = 1.4254x + -1.4254x + 0.1825x2 + -0.1825x2 Combine like terms: 1.4254x + -1.4254x = 0.0000 10.1 + -1.4254x + -0.1825x2 = 0.0000 + 0.1825x2 + -0.1825x2 10.1 + -1.4254x + -0.1825x2 = 0.1825x2 + -0.1825x2 Combine like terms: 0.1825x2 + -0.1825x2 = 0.0000 10.1 + -1.4254x + -0.1825x2 = 0.0000 Begin completing the square. Divide all terms by -0.1825 the coefficient of the squared term: Divide each side by '-0.1825'. -55.34246575 + 7.810410959x + x2 = 0 Move the constant term to the right: Add '55.34246575' to each side of the equation. -55.34246575 + 7.810410959x + 55.34246575 + x2 = 0 + 55.34246575 Reorder the terms: -55.34246575 + 55.34246575 + 7.810410959x + x2 = 0 + 55.34246575 Combine like terms: -55.34246575 + 55.34246575 = 0.00000000 0.00000000 + 7.810410959x + x2 = 0 + 55.34246575 7.810410959x + x2 = 0 + 55.34246575 Combine like terms: 0 + 55.34246575 = 55.34246575 7.810410959x + x2 = 55.34246575 The x term is 7.810410959x. Take half its coefficient (3.90520548). Square it (15.25062984) and add it to both sides. Add '15.25062984' to each side of the equation. 7.810410959x + 15.25062984 + x2 = 55.34246575 + 15.25062984 Reorder the terms: 15.25062984 + 7.810410959x + x2 = 55.34246575 + 15.25062984 Combine like terms: 55.34246575 + 15.25062984 = 70.59309559 15.25062984 + 7.810410959x + x2 = 70.59309559 Factor a perfect square on the left side: (x + 3.90520548)(x + 3.90520548) = 70.59309559 Calculate the square root of the right side: 8.401969745 Break this problem into two subproblems by setting (x + 3.90520548) equal to 8.401969745 and -8.401969745.Subproblem 1
x + 3.90520548 = 8.401969745 Simplifying x + 3.90520548 = 8.401969745 Reorder the terms: 3.90520548 + x = 8.401969745 Solving 3.90520548 + x = 8.401969745 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.90520548' to each side of the equation. 3.90520548 + -3.90520548 + x = 8.401969745 + -3.90520548 Combine like terms: 3.90520548 + -3.90520548 = 0.00000000 0.00000000 + x = 8.401969745 + -3.90520548 x = 8.401969745 + -3.90520548 Combine like terms: 8.401969745 + -3.90520548 = 4.496764265 x = 4.496764265 Simplifying x = 4.496764265Subproblem 2
x + 3.90520548 = -8.401969745 Simplifying x + 3.90520548 = -8.401969745 Reorder the terms: 3.90520548 + x = -8.401969745 Solving 3.90520548 + x = -8.401969745 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.90520548' to each side of the equation. 3.90520548 + -3.90520548 + x = -8.401969745 + -3.90520548 Combine like terms: 3.90520548 + -3.90520548 = 0.00000000 0.00000000 + x = -8.401969745 + -3.90520548 x = -8.401969745 + -3.90520548 Combine like terms: -8.401969745 + -3.90520548 = -12.307175225 x = -12.307175225 Simplifying x = -12.307175225Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.496764265, -12.307175225}
| 4n-5=23 | | 16x^2+y^2-24y+80=0 | | 30+17= | | 12-5x=42 | | x^2-500x+22500=0 | | x^2-15/4 | | 50x^2-500x+22500=0 | | 2+42x=60x | | ln(2*x)+5=3 | | 18-2(x-1)=12 | | -50+3x+3x-y=15+2x+y | | 3x+3x-y=50 | | 15x^2-3000x+136500=0 | | 50-6x+y=15+2x+y | | 15+2x+y=0 | | 15=5e^3x | | 50-6x+y=0 | | 6x+3=21 | | 6x-3x+5=4x-2 | | [x+6]-5=7 | | x^4-8x^3+18x^2+25x-102=0 | | 2x+4=20 | | 15+22x=20+21x | | 456789=x | | 56789=87878787878787 | | 2348570785+87532098715=19591875154 | | 8740395=5347985q | | 8w=3w+6 | | 3x+44+7x-4=180 | | 40x/35x | | 2c+(3c-4)=c-4 | | 4x+30+2x+12=180 |