If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x3 + 42x2 + -30x = 0 Reorder the terms: -30x + 42x2 + 6x3 = 0 Solving -30x + 42x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-5 + 7x + x2) = 0 Ignore the factor 6.Subproblem 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 '(-5 + 7x + x2)' equal to zero and attempt to solve: Simplifying -5 + 7x + x2 = 0 Solving -5 + 7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '5' to each side of the equation. -5 + 7x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + 7x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x + x2 = 0 + 5 7x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 7x + x2 = 5 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = 5 + 12.25 Reorder the terms: 12.25 + 7x + x2 = 5 + 12.25 Combine like terms: 5 + 12.25 = 17.25 12.25 + 7x + x2 = 17.25 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = 17.25 Calculate the square root of the right side: 4.153311931 Break this problem into two subproblems by setting (x + 3.5) equal to 4.153311931 and -4.153311931.Subproblem 1
x + 3.5 = 4.153311931 Simplifying x + 3.5 = 4.153311931 Reorder the terms: 3.5 + x = 4.153311931 Solving 3.5 + x = 4.153311931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 4.153311931 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 4.153311931 + -3.5 x = 4.153311931 + -3.5 Combine like terms: 4.153311931 + -3.5 = 0.653311931 x = 0.653311931 Simplifying x = 0.653311931Subproblem 2
x + 3.5 = -4.153311931 Simplifying x + 3.5 = -4.153311931 Reorder the terms: 3.5 + x = -4.153311931 Solving 3.5 + x = -4.153311931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -4.153311931 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -4.153311931 + -3.5 x = -4.153311931 + -3.5 Combine like terms: -4.153311931 + -3.5 = -7.653311931 x = -7.653311931 Simplifying x = -7.653311931Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.653311931, -7.653311931}Solution
x = {0, 0.653311931, -7.653311931}
| 2x+46=443 | | 10-8x=2x+4x | | X^2+10X+8=0 | | 7x^3+35x^2+56x= | | -8X^2+31=7 | | 100x^2+240x+144= | | 28a^2b^5+21ab= | | 3x^2-19x+6= | | -5X^2-X+3=0 | | x+16y=30 | | a^2b^2+ab= | | 4X^2+13=41 | | 6y^4-2y^7= | | -5d+2=-6d^2 | | x+2=4x-16 | | -(6y+5)-(-5y-6)=-2 | | 7y^4-42y= | | p^2-6p+n=0 | | m^2-8m+n=0 | | 72n-43= | | (4x+20)=(3x-15) | | 5n^2-4=74 | | 4(2-x)+3(2x-5)=12 | | 2m^2+20m=-70 | | 3x+8+4x+67= | | 9b^5-8b^4= | | 2x^4+5x^3-5x^2-20x-12=0 | | 7y^2-4y= | | 36+3=720 | | 4y^2+8-36=0 | | z^2=25z | | -3(4t-5)=1.5 |