If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x3 + 4x2 = 4x Reorder the terms: 4x2 + x3 = 4x Solving 4x2 + x3 = 4x Solving for variable 'x'. Reorder the terms: -4x + 4x2 + x3 = 4x + -4x Combine like terms: 4x + -4x = 0 -4x + 4x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 4x + x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-4 + 4x + x2)' equal to zero and attempt to solve: Simplifying -4 + 4x + x2 = 0 Solving -4 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '4' to each side of the equation. -4 + 4x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + 4x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4x + x2 = 0 + 4 4x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 4x + x2 = 4 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 4 + 4 Reorder the terms: 4 + 4x + x2 = 4 + 4 Combine like terms: 4 + 4 = 8 4 + 4x + x2 = 8 Factor a perfect square on the left side: (x + 2)(x + 2) = 8 Calculate the square root of the right side: 2.828427125 Break this problem into two subproblems by setting (x + 2) equal to 2.828427125 and -2.828427125.Subproblem 1
x + 2 = 2.828427125 Simplifying x + 2 = 2.828427125 Reorder the terms: 2 + x = 2.828427125 Solving 2 + x = 2.828427125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 2.828427125 + -2 Combine like terms: 2 + -2 = 0 0 + x = 2.828427125 + -2 x = 2.828427125 + -2 Combine like terms: 2.828427125 + -2 = 0.828427125 x = 0.828427125 Simplifying x = 0.828427125Subproblem 2
x + 2 = -2.828427125 Simplifying x + 2 = -2.828427125 Reorder the terms: 2 + x = -2.828427125 Solving 2 + x = -2.828427125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -2.828427125 + -2 Combine like terms: 2 + -2 = 0 0 + x = -2.828427125 + -2 x = -2.828427125 + -2 Combine like terms: -2.828427125 + -2 = -4.828427125 x = -4.828427125 Simplifying x = -4.828427125Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.828427125, -4.828427125}Solution
x = {0, 0.828427125, -4.828427125}
| 12y-42=2(4y-5) | | 5y(3y+6)=0 | | 6b+6=5b | | (x-y)(8x+y)=0 | | (x-y)(8x+y)=y | | 14-(4m+8)=5+2m-17 | | 4x+3y=2x-5 | | 54=-6g | | -7(1+7x)-6(-7-x)=36 | | 3n+6=-84 | | 3a+2=a+3 | | -4(y-2)=24 | | 8(5x-3)=21 | | x,2x+4=46 | | 5.2=9.4q+1.6(-4q+2) | | 6+5x=-2(-x-6) | | 90=45-5w | | 7a-4(a-3)=18 | | 12t=108 | | 5(3-2x)=5-(2-2x) | | x^2-0.25x+0.5=0 | | -3x-20=-80 | | 20x+18y=300 | | 10c-18=42 | | x^2-37x+342=0 | | 8v^2+5v-5=0 | | -3x=34 | | -15+9d=21 | | 18=-7x | | 3x^2-48x+16=0 | | (2x-3)/5+(x+3)/4=(4x+1)/7 | | 12x+20=10x+8-2x |