If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x3 + 5x2 = x Reorder the terms: 5x2 + 3x3 = x Solving 5x2 + 3x3 = x Solving for variable 'x'. Reorder the terms: -1x + 5x2 + 3x3 = x + -1x Combine like terms: x + -1x = 0 -1x + 5x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 5x + 3x2) = 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 '(-1 + 5x + 3x2)' equal to zero and attempt to solve: Simplifying -1 + 5x + 3x2 = 0 Solving -1 + 5x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.3333333333 + 1.666666667x + x2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + 1.666666667x + 0.3333333333 + x2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + 1.666666667x + x2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + 1.666666667x + x2 = 0 + 0.3333333333 1.666666667x + x2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 1.666666667x + x2 = 0.3333333333 The x term is 1.666666667x. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667x + 0.6944444447 + x2 = 0.3333333333 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667x + x2 = 0.3333333333 + 0.6944444447 Combine like terms: 0.3333333333 + 0.6944444447 = 1.027777778 0.6944444447 + 1.666666667x + x2 = 1.027777778 Factor a perfect square on the left side: (x + 0.8333333335)(x + 0.8333333335) = 1.027777778 Calculate the square root of the right side: 1.013793755 Break this problem into two subproblems by setting (x + 0.8333333335) equal to 1.013793755 and -1.013793755.Subproblem 1
x + 0.8333333335 = 1.013793755 Simplifying x + 0.8333333335 = 1.013793755 Reorder the terms: 0.8333333335 + x = 1.013793755 Solving 0.8333333335 + x = 1.013793755 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + x = 1.013793755 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + x = 1.013793755 + -0.8333333335 x = 1.013793755 + -0.8333333335 Combine like terms: 1.013793755 + -0.8333333335 = 0.1804604215 x = 0.1804604215 Simplifying x = 0.1804604215Subproblem 2
x + 0.8333333335 = -1.013793755 Simplifying x + 0.8333333335 = -1.013793755 Reorder the terms: 0.8333333335 + x = -1.013793755 Solving 0.8333333335 + x = -1.013793755 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + x = -1.013793755 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + x = -1.013793755 + -0.8333333335 x = -1.013793755 + -0.8333333335 Combine like terms: -1.013793755 + -0.8333333335 = -1.8471270885 x = -1.8471270885 Simplifying x = -1.8471270885Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.1804604215, -1.8471270885}Solution
x = {0, 0.1804604215, -1.8471270885}
| 3.5x=y-7 | | 5.6-0.32*s=1.12 | | 8x+10-9x=89 | | 10.57x-16.75x+17.66=70.84 | | -3m+24-3(m-4)=6m-(4m-5)-2m+1 | | -sin^2x+5cosx=4 | | 4k^2=49 | | Ln(3x-1)=1.5 | | -[8z-(14z+9)]=9+(5z+8) | | 2(x-3)=x-6 | | 3t^2-48t+33=0 | | 4y^3-2y+3y^3= | | 9a=10(6a-1) | | 2x^3=3x-5x^2 | | -(c-8)=1 | | 3ab+7c= | | 8z-5=8 | | 3p-2(5-2p)=2(p-6)-23 | | 90+30x=2500 | | 0.23*h+2.34=6.25 | | 8(9-5)= | | log(x+8)13=1 | | 27a^3b^3=-8 | | 2(t+2)=2 | | 4x+7(x-8)=4(x-7) | | (4*2)2*3=192 | | y^2+22y=-96 | | 5(3x-5)-3=5(x-5)+87 | | y^2+22y=-9696 | | 10x+17x-8+2=-9x+2-8 | | 5(3x-5)-3=5(x-5)+8 | | log(-3x^2+3x-5)=0 |