If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 41x2 + -210 = -1x2 + 246x Reorder the terms: -210 + 41x2 = -1x2 + 246x Reorder the terms: -210 + 41x2 = 246x + -1x2 Solving -210 + 41x2 = 246x + -1x2 Solving for variable 'x'. Reorder the terms: -210 + -246x + 41x2 + x2 = 246x + -1x2 + -246x + x2 Combine like terms: 41x2 + x2 = 42x2 -210 + -246x + 42x2 = 246x + -1x2 + -246x + x2 Reorder the terms: -210 + -246x + 42x2 = 246x + -246x + -1x2 + x2 Combine like terms: 246x + -246x = 0 -210 + -246x + 42x2 = 0 + -1x2 + x2 -210 + -246x + 42x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -210 + -246x + 42x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-35 + -41x + 7x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-35 + -41x + 7x2)' equal to zero and attempt to solve: Simplifying -35 + -41x + 7x2 = 0 Solving -35 + -41x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -5 + -5.857142857x + x2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + -5.857142857x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + -5.857142857x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -5.857142857x + x2 = 0 + 5 -5.857142857x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -5.857142857x + x2 = 5 The x term is -5.857142857x. Take half its coefficient (-2.928571429). Square it (8.576530615) and add it to both sides. Add '8.576530615' to each side of the equation. -5.857142857x + 8.576530615 + x2 = 5 + 8.576530615 Reorder the terms: 8.576530615 + -5.857142857x + x2 = 5 + 8.576530615 Combine like terms: 5 + 8.576530615 = 13.576530615 8.576530615 + -5.857142857x + x2 = 13.576530615 Factor a perfect square on the left side: (x + -2.928571429)(x + -2.928571429) = 13.576530615 Calculate the square root of the right side: 3.684634394 Break this problem into two subproblems by setting (x + -2.928571429) equal to 3.684634394 and -3.684634394.Subproblem 1
x + -2.928571429 = 3.684634394 Simplifying x + -2.928571429 = 3.684634394 Reorder the terms: -2.928571429 + x = 3.684634394 Solving -2.928571429 + x = 3.684634394 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.928571429' to each side of the equation. -2.928571429 + 2.928571429 + x = 3.684634394 + 2.928571429 Combine like terms: -2.928571429 + 2.928571429 = 0.000000000 0.000000000 + x = 3.684634394 + 2.928571429 x = 3.684634394 + 2.928571429 Combine like terms: 3.684634394 + 2.928571429 = 6.613205823 x = 6.613205823 Simplifying x = 6.613205823Subproblem 2
x + -2.928571429 = -3.684634394 Simplifying x + -2.928571429 = -3.684634394 Reorder the terms: -2.928571429 + x = -3.684634394 Solving -2.928571429 + x = -3.684634394 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.928571429' to each side of the equation. -2.928571429 + 2.928571429 + x = -3.684634394 + 2.928571429 Combine like terms: -2.928571429 + 2.928571429 = 0.000000000 0.000000000 + x = -3.684634394 + 2.928571429 x = -3.684634394 + 2.928571429 Combine like terms: -3.684634394 + 2.928571429 = -0.756062965 x = -0.756062965 Simplifying x = -0.756062965Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.613205823, -0.756062965}Solution
x = {6.613205823, -0.756062965}
| 36-6k=5(1+5k) | | 95=4(4-4R)-1 | | 20x^2+6x=4x+16+6x^2 | | Y^2+(4y)=45 | | 24x-Y=120 | | 8x^2-6x-105=2x^2+3x | | 88=4(1+3a) | | 5x^2+175=60x | | -33n=-132 | | 8x^2=-16x+280 | | 3x^2+17=-8x+8 | | 86=5(8+2a)-4 | | 7-(2x+3)=16-6x | | 2.5=170/x | | -15+2x=-6x^2 | | 2(3+y)+3y=15 | | 6(12-2x/5) | | 6(-6n-4)=-4n+40 | | 2.3x+6.12=1.6x-10.44 | | 12b^2-(8b)=0 | | 13/6=39/t | | 9x+3-3x=-3(-4-x) | | 7/4=32/t | | -5(1-6p)=-155 | | 8/4=32/t= | | 18/4=81/x= | | 22-13=x | | Z=6+x-y | | p=140-7/9x | | x+3-5x+7+4y=7 | | 50x+5y=750 | | 65*x=22.75 |