If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x2)(20 + x) = 100x (20 * x2 + x * x2) = 100x (20x2 + x3) = 100x Solving 20x2 + x3 = 100x Solving for variable 'x'. Reorder the terms: -100x + 20x2 + x3 = 100x + -100x Combine like terms: 100x + -100x = 0 -100x + 20x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-100 + 20x + 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 '(-100 + 20x + x2)' equal to zero and attempt to solve: Simplifying -100 + 20x + x2 = 0 Solving -100 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '100' to each side of the equation. -100 + 20x + 100 + x2 = 0 + 100 Reorder the terms: -100 + 100 + 20x + x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 20x + x2 = 0 + 100 20x + x2 = 0 + 100 Combine like terms: 0 + 100 = 100 20x + x2 = 100 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = 100 + 100 Reorder the terms: 100 + 20x + x2 = 100 + 100 Combine like terms: 100 + 100 = 200 100 + 20x + x2 = 200 Factor a perfect square on the left side: (x + 10)(x + 10) = 200 Calculate the square root of the right side: 14.142135624 Break this problem into two subproblems by setting (x + 10) equal to 14.142135624 and -14.142135624.Subproblem 1
x + 10 = 14.142135624 Simplifying x + 10 = 14.142135624 Reorder the terms: 10 + x = 14.142135624 Solving 10 + x = 14.142135624 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 14.142135624 + -10 Combine like terms: 10 + -10 = 0 0 + x = 14.142135624 + -10 x = 14.142135624 + -10 Combine like terms: 14.142135624 + -10 = 4.142135624 x = 4.142135624 Simplifying x = 4.142135624Subproblem 2
x + 10 = -14.142135624 Simplifying x + 10 = -14.142135624 Reorder the terms: 10 + x = -14.142135624 Solving 10 + x = -14.142135624 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = -14.142135624 + -10 Combine like terms: 10 + -10 = 0 0 + x = -14.142135624 + -10 x = -14.142135624 + -10 Combine like terms: -14.142135624 + -10 = -24.142135624 x = -24.142135624 Simplifying x = -24.142135624Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.142135624, -24.142135624}Solution
x = {0, 4.142135624, -24.142135624}
| 3+6y=y+2y+4y | | 24-3y=-18 | | 12a^2-4ab-16b^2= | | -12-3y=-18 | | -3.2d=-16 | | 12-3y=-18 | | 1*3r+2=1*6r+4*3 | | f^2+12f=0 | | h-3=8 | | 15=1/2(x+2) | | 70=7x^2+x+4+x+4 | | 2a-5=11 | | 24-5=11 | | z^2+5z-b=0 | | k-4=14 | | 5(2x-1)-3=2(4+1) | | t+7=12 | | (3m+7)(4m-8)= | | 34w-2.6-w=16.6 | | x(2x-3)+4(x+1)=2(3+2x) | | 2(5a-12)=-6(2a-3)+2 | | (12+6)+8= | | 3y-2x=20 | | 3x-53=-x+7 | | 6x^2-17x-3=0 | | 14-2x=-5+11 | | d^2-10d+13=0 | | -5f+40=5f+40 | | 5p-28=88-p | | H=-16t^2-24t+216 | | 0.1x^2+178+8379= | | 12x^3-10x^2-8x=0 |