If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 20x + -120 = 0 Reorder the terms: -120 + 20x + 2x2 = 0 Solving -120 + 20x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + 10x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-60 + 10x + x2)' equal to zero and attempt to solve: Simplifying -60 + 10x + x2 = 0 Solving -60 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '60' to each side of the equation. -60 + 10x + 60 + x2 = 0 + 60 Reorder the terms: -60 + 60 + 10x + x2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 10x + x2 = 0 + 60 10x + x2 = 0 + 60 Combine like terms: 0 + 60 = 60 10x + x2 = 60 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = 60 + 25 Reorder the terms: 25 + 10x + x2 = 60 + 25 Combine like terms: 60 + 25 = 85 25 + 10x + x2 = 85 Factor a perfect square on the left side: (x + 5)(x + 5) = 85 Calculate the square root of the right side: 9.219544457 Break this problem into two subproblems by setting (x + 5) equal to 9.219544457 and -9.219544457.Subproblem 1
x + 5 = 9.219544457 Simplifying x + 5 = 9.219544457 Reorder the terms: 5 + x = 9.219544457 Solving 5 + x = 9.219544457 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 9.219544457 + -5 Combine like terms: 5 + -5 = 0 0 + x = 9.219544457 + -5 x = 9.219544457 + -5 Combine like terms: 9.219544457 + -5 = 4.219544457 x = 4.219544457 Simplifying x = 4.219544457Subproblem 2
x + 5 = -9.219544457 Simplifying x + 5 = -9.219544457 Reorder the terms: 5 + x = -9.219544457 Solving 5 + x = -9.219544457 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = -9.219544457 + -5 Combine like terms: 5 + -5 = 0 0 + x = -9.219544457 + -5 x = -9.219544457 + -5 Combine like terms: -9.219544457 + -5 = -14.219544457 x = -14.219544457 Simplifying x = -14.219544457Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.219544457, -14.219544457}Solution
x = {4.219544457, -14.219544457}
| 107-7x=29x-19 | | -3(3p+6)-2(4-8p)-3(4+2p)=0 | | 15r-5=-10-10 | | 6x^2-48x=9 | | 5x+3+3y=18 | | x+10=-32+19 | | -8(2b+3)+(17b-3)=0 | | -y+2=16-8y | | 180=60+60+x-20 | | X(x+2)=71 | | 5x+4=31-2x | | 10x+5(0)=10 | | (7y+8)-(6+6y)=10 | | -1y=0 | | 2a+5(a+4)(a+1)+9(a+4)(a+3)(a+1)= | | 6x+20-x=-4x+2 | | -1=0 | | 3z+2=A | | 0.03(2c-26)=-0.6(c-2) | | 7d+3=31 | | 32+15n=-20n-73 | | 6m+3=17 | | 3x+14=74+3x | | -1y=-2 | | 107=3x-4 | | 4x+1=80 | | 4x+8Y=692 | | -2x-36=6x+20 | | 5x^2*y^2-20xy= | | x^2-36=3x | | -1+5+-15+1+-2+5+1+-6= | | X+3x-6=90 |