If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x4 + -24x2 + 1 = 0 Reorder the terms: 1 + -24x2 + 5x4 = 0 Solving 1 + -24x2 + 5x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.2 + -4.8x2 + x4 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + -4.8x2 + -0.2 + x4 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + -4.8x2 + x4 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -4.8x2 + x4 = 0 + -0.2 -4.8x2 + x4 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 -4.8x2 + x4 = -0.2 The x term is -4.8x2. Take half its coefficient (-2.4). Square it (5.76) and add it to both sides. Add '5.76' to each side of the equation. -4.8x2 + 5.76 + x4 = -0.2 + 5.76 Reorder the terms: 5.76 + -4.8x2 + x4 = -0.2 + 5.76 Combine like terms: -0.2 + 5.76 = 5.56 5.76 + -4.8x2 + x4 = 5.56 Factor a perfect square on the left side: (x2 + -2.4)(x2 + -2.4) = 5.56 Calculate the square root of the right side: 2.357965225 Break this problem into two subproblems by setting (x2 + -2.4) equal to 2.357965225 and -2.357965225.Subproblem 1
x2 + -2.4 = 2.357965225 Simplifying x2 + -2.4 = 2.357965225 Reorder the terms: -2.4 + x2 = 2.357965225 Solving -2.4 + x2 = 2.357965225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.4' to each side of the equation. -2.4 + 2.4 + x2 = 2.357965225 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + x2 = 2.357965225 + 2.4 x2 = 2.357965225 + 2.4 Combine like terms: 2.357965225 + 2.4 = 4.757965225 x2 = 4.757965225 Simplifying x2 = 4.757965225 Take the square root of each side: x = {-2.181276054, 2.181276054}Subproblem 2
x2 + -2.4 = -2.357965225 Simplifying x2 + -2.4 = -2.357965225 Reorder the terms: -2.4 + x2 = -2.357965225 Solving -2.4 + x2 = -2.357965225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.4' to each side of the equation. -2.4 + 2.4 + x2 = -2.357965225 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + x2 = -2.357965225 + 2.4 x2 = -2.357965225 + 2.4 Combine like terms: -2.357965225 + 2.4 = 0.042034775 x2 = 0.042034775 Simplifying x2 = 0.042034775 Take the square root of each side: x = {-0.20502384, 0.20502384}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-2.181276054, 2.181276054, -0.20502384, 0.20502384}
| x+x+5=87 | | -5=-0.2k | | x+x+300=2500 | | x+x+300=25000 | | 28x+24=-42-10 | | 5x^2+340x-1020=0 | | o=2a^2 | | 6x^4-2x^2=2x^2 | | 6+5x=1.5(12+10x) | | 6x=8x+8x | | u/5-16=20 | | x^2-68x-204=0 | | 8a+6b-350=0 | | 8.4/x=4 | | 4w+8=84 | | 1.5(10x-9)=5x+8 | | x^2=361x | | 1/2(10x-9)=5x | | 4x^2+28x+m= | | x^2-8x-600=0 | | 9x^2-mx+4= | | x^2-12x-600=0 | | x+18=-6-14 | | a^2+6a=10 | | .222x^2-1.11x+.889=0 | | x+x+25=135 | | x^2+12x-600=0 | | 24=x+5x | | 4a^2+12a=-9 | | 160t^2-40t+30=0 | | 6x=x+16 | | 9.50+105m=14.75m |