If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 42x = 40 Reorder the terms: 42x + 4x2 = 40 Solving 42x + 4x2 = 40 Solving for variable 'x'. Reorder the terms: -40 + 42x + 4x2 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 42x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 21x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 21x + 2x2)' equal to zero and attempt to solve: Simplifying -20 + 21x + 2x2 = 0 Solving -20 + 21x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -10 + 10.5x + x2 = 0 Move the constant term to the right: Add '10' to each side of the equation. -10 + 10.5x + 10 + x2 = 0 + 10 Reorder the terms: -10 + 10 + 10.5x + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 10.5x + x2 = 0 + 10 10.5x + x2 = 0 + 10 Combine like terms: 0 + 10 = 10 10.5x + x2 = 10 The x term is 10.5x. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5x + 27.5625 + x2 = 10 + 27.5625 Reorder the terms: 27.5625 + 10.5x + x2 = 10 + 27.5625 Combine like terms: 10 + 27.5625 = 37.5625 27.5625 + 10.5x + x2 = 37.5625 Factor a perfect square on the left side: (x + 5.25)(x + 5.25) = 37.5625 Calculate the square root of the right side: 6.128825336 Break this problem into two subproblems by setting (x + 5.25) equal to 6.128825336 and -6.128825336.Subproblem 1
x + 5.25 = 6.128825336 Simplifying x + 5.25 = 6.128825336 Reorder the terms: 5.25 + x = 6.128825336 Solving 5.25 + x = 6.128825336 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = 6.128825336 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = 6.128825336 + -5.25 x = 6.128825336 + -5.25 Combine like terms: 6.128825336 + -5.25 = 0.878825336 x = 0.878825336 Simplifying x = 0.878825336Subproblem 2
x + 5.25 = -6.128825336 Simplifying x + 5.25 = -6.128825336 Reorder the terms: 5.25 + x = -6.128825336 Solving 5.25 + x = -6.128825336 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = -6.128825336 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = -6.128825336 + -5.25 x = -6.128825336 + -5.25 Combine like terms: -6.128825336 + -5.25 = -11.378825336 x = -11.378825336 Simplifying x = -11.378825336Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.878825336, -11.378825336}Solution
x = {0.878825336, -11.378825336}
| 3x+-8=-14 | | 4(4/3)+3 | | 3x^2-55x=-4x^2-7x-36x | | -8x-24=24 | | 17*(-12)= | | 7x^2+5x-12=52-43x | | 6z+8=7z | | 7(4/3)-1 | | -2x+-24=16 | | 6x/7=3x/5+9 | | 6x^2+8x-11=31-21x | | 4p-1=12 | | .8(13)+1x=.95(13+x) | | w=y+yxz | | 2x+-2=-14 | | 7[4-(5+5x)]-x=-19+4(3-9x) | | 4xy-7xy^5= | | 8y+x=9 | | 13(12a+17)= | | x=4b | | x^3-12x^2+35=0x | | x^3-12x^2+35=0 | | x+.1(3)=.40(x+3) | | m+7-5m=2(4-2m) | | -3y+14=5x-9 | | 2+ab= | | 2=ab | | (1/3)(15x-6)-(x+6) | | 4y^2+9x^2=-12xy | | 3x+36=2x+42 | | K=32yz | | -6(x+3)-x-2=-7(x+2)-6 |