If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 2x4 + -5x2 + 1 Reorder the terms: 0 = 1 + -5x2 + 2x4 Solving 0 = 1 + -5x2 + 2x4 Solving for variable 'x'. Combine like terms: 0 + -1 = -1 -1 + 5x2 + -2x4 = 1 + -5x2 + 2x4 + -1 + 5x2 + -2x4 Reorder the terms: -1 + 5x2 + -2x4 = 1 + -1 + -5x2 + 5x2 + 2x4 + -2x4 Combine like terms: 1 + -1 = 0 -1 + 5x2 + -2x4 = 0 + -5x2 + 5x2 + 2x4 + -2x4 -1 + 5x2 + -2x4 = -5x2 + 5x2 + 2x4 + -2x4 Combine like terms: -5x2 + 5x2 = 0 -1 + 5x2 + -2x4 = 0 + 2x4 + -2x4 -1 + 5x2 + -2x4 = 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -1 + 5x2 + -2x4 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 0.5 + -2.5x2 + x4 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -2.5x2 + -0.5 + x4 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -2.5x2 + x4 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2.5x2 + x4 = 0 + -0.5 -2.5x2 + x4 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -2.5x2 + x4 = -0.5 The x term is -2.5x2. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x2 + 1.5625 + x4 = -0.5 + 1.5625 Reorder the terms: 1.5625 + -2.5x2 + x4 = -0.5 + 1.5625 Combine like terms: -0.5 + 1.5625 = 1.0625 1.5625 + -2.5x2 + x4 = 1.0625 Factor a perfect square on the left side: (x2 + -1.25)(x2 + -1.25) = 1.0625 Calculate the square root of the right side: 1.030776406 Break this problem into two subproblems by setting (x2 + -1.25) equal to 1.030776406 and -1.030776406.Subproblem 1
x2 + -1.25 = 1.030776406 Simplifying x2 + -1.25 = 1.030776406 Reorder the terms: -1.25 + x2 = 1.030776406 Solving -1.25 + x2 = 1.030776406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x2 = 1.030776406 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x2 = 1.030776406 + 1.25 x2 = 1.030776406 + 1.25 Combine like terms: 1.030776406 + 1.25 = 2.280776406 x2 = 2.280776406 Simplifying x2 = 2.280776406 Take the square root of each side: x = {-1.510223959, 1.510223959}Subproblem 2
x2 + -1.25 = -1.030776406 Simplifying x2 + -1.25 = -1.030776406 Reorder the terms: -1.25 + x2 = -1.030776406 Solving -1.25 + x2 = -1.030776406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x2 = -1.030776406 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x2 = -1.030776406 + 1.25 x2 = -1.030776406 + 1.25 Combine like terms: -1.030776406 + 1.25 = 0.219223594 x2 = 0.219223594 Simplifying x2 = 0.219223594 Take the square root of each side: x = {-0.468213193, 0.468213193}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.510223959, 1.510223959, -0.468213193, 0.468213193}
| 5t+2(1-5t)= | | 90+x-24+x=180 | | X*2-6x-7=0 | | (25b-8)-6(4b+3)=-2 | | .5x^2-3x=-9 | | (2z+7)(9-z)=0 | | 4x-(3x+6)=0 | | (8a+7)(2a^2+7a-9)= | | 11(t-5)+7t=6(3t+3)-9 | | 2B+4B-4=20 | | 2y-8=-3y-8 | | (9y^2-7y+9)-(7y^2-7y+8)= | | 49x^2-14x=-1 | | -2(5s-6)-12=-3(8s+2)-3 | | 6x+5x+4+9=7x+4+3x | | 49x^2-14=-1 | | -2(4s-3)-6=-3(9s+1)-3 | | x+xy=0xy | | x^2-16x=-60 | | 3x+37=7x+1 | | 9p+2=11+8p | | 1*x=4 | | -0.07x=-4.15 | | .04w-.3w+.4w=5 | | 5x(x+1)=46 | | y+2=.5x+(.5)1 | | 1+7-18=-9 | | 6r-12r=36 | | 17m=16 | | .25x^2-.05x=-.2 | | (29b-8)-7(4b+3)=-7 | | x+(x+2)=22 |