If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3.8975x4 + -243.35x2 + 2452 = 0 Reorder the terms: 2452 + -243.35x2 + 3.8975x4 = 0 Solving 2452 + -243.35x2 + 3.8975x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3.8975 the coefficient of the squared term: Divide each side by '3.8975'. 629.1212316 + -62.43745991x2 + x4 = 0 Move the constant term to the right: Add '-629.1212316' to each side of the equation. 629.1212316 + -62.43745991x2 + -629.1212316 + x4 = 0 + -629.1212316 Reorder the terms: 629.1212316 + -629.1212316 + -62.43745991x2 + x4 = 0 + -629.1212316 Combine like terms: 629.1212316 + -629.1212316 = 0.0000000 0.0000000 + -62.43745991x2 + x4 = 0 + -629.1212316 -62.43745991x2 + x4 = 0 + -629.1212316 Combine like terms: 0 + -629.1212316 = -629.1212316 -62.43745991x2 + x4 = -629.1212316 The x term is -62.43745991x2. Take half its coefficient (-31.21872996). Square it (974.6091003) and add it to both sides. Add '974.6091003' to each side of the equation. -62.43745991x2 + 974.6091003 + x4 = -629.1212316 + 974.6091003 Reorder the terms: 974.6091003 + -62.43745991x2 + x4 = -629.1212316 + 974.6091003 Combine like terms: -629.1212316 + 974.6091003 = 345.4878687 974.6091003 + -62.43745991x2 + x4 = 345.4878687 Factor a perfect square on the left side: (x2 + -31.21872996)(x2 + -31.21872996) = 345.4878687 Calculate the square root of the right side: 18.587303965 Break this problem into two subproblems by setting (x2 + -31.21872996) equal to 18.587303965 and -18.587303965.Subproblem 1
x2 + -31.21872996 = 18.587303965 Simplifying x2 + -31.21872996 = 18.587303965 Reorder the terms: -31.21872996 + x2 = 18.587303965 Solving -31.21872996 + x2 = 18.587303965 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31.21872996' to each side of the equation. -31.21872996 + 31.21872996 + x2 = 18.587303965 + 31.21872996 Combine like terms: -31.21872996 + 31.21872996 = 0.00000000 0.00000000 + x2 = 18.587303965 + 31.21872996 x2 = 18.587303965 + 31.21872996 Combine like terms: 18.587303965 + 31.21872996 = 49.806033925 x2 = 49.806033925 Simplifying x2 = 49.806033925 Take the square root of each side: x = {-7.057339012, 7.057339012}Subproblem 2
x2 + -31.21872996 = -18.587303965 Simplifying x2 + -31.21872996 = -18.587303965 Reorder the terms: -31.21872996 + x2 = -18.587303965 Solving -31.21872996 + x2 = -18.587303965 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31.21872996' to each side of the equation. -31.21872996 + 31.21872996 + x2 = -18.587303965 + 31.21872996 Combine like terms: -31.21872996 + 31.21872996 = 0.00000000 0.00000000 + x2 = -18.587303965 + 31.21872996 x2 = -18.587303965 + 31.21872996 Combine like terms: -18.587303965 + 31.21872996 = 12.631425995 x2 = 12.631425995 Simplifying x2 = 12.631425995 Take the square root of each side: x = {-3.554071749, 3.554071749}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-7.057339012, 7.057339012, -3.554071749, 3.554071749}
| 6x-7+4x+23=180 | | -2(5r+10)+4(2r+9)= | | 10(x+8)=8(x+5)+15 | | 5x-25=4x-16 | | -6(2x-3)+3x-7+9= | | -2z(4z^2-3z+1)-z(3z^2+2z-1)=0 | | 8(x+5)=4(x+5) | | -7(9x+8)=-371 | | 4(4-6)(3)=(4)(3)-(6)(3) | | 4x^2=-16-16 | | 5(x+10)=20 | | 4x+1+2c=5c-3x+6 | | x/3+3=30 | | 2b(b^2+4b+8)-3b(3b^2+9b-18)=0 | | 8x^2+12x=8 | | 4r(2r^2-3r+5)+6r(4r^2+2r+8)=0 | | 8x+78=2x+72 | | 6a(2a-b)+2a(-4a+5b)=0 | | x^2-3x-648=0 | | 5x+10=85 | | -0.004x^2+3.2x-150=400 | | 2x-3=2x-3+7 | | -x(2x^2-4x)-6x^2=0 | | 3(x+6)-2x= | | 6x-45=27+2x | | -4x(2x^3-2x+3)=0 | | 2x/3-9=15 | | 2+5x=7x-16 | | -2g(g^2-2g+2)=0 | | x/5+20=30 | | 9x+6=-21 | | 41-2x=7x+19 |