If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -8x + -120 = 0 Reorder the terms: -120 + -8x + 6x2 = 0 Solving -120 + -8x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + -4x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-60 + -4x + 3x2)' equal to zero and attempt to solve: Simplifying -60 + -4x + 3x2 = 0 Solving -60 + -4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -20 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '20' to each side of the equation. -20 + -1.333333333x + 20 + x2 = 0 + 20 Reorder the terms: -20 + 20 + -1.333333333x + x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1.333333333x + x2 = 0 + 20 -1.333333333x + x2 = 0 + 20 Combine like terms: 0 + 20 = 20 -1.333333333x + x2 = 20 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = 20 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = 20 + 0.4444444442 Combine like terms: 20 + 0.4444444442 = 20.4444444442 0.4444444442 + -1.333333333x + x2 = 20.4444444442 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = 20.4444444442 Calculate the square root of the right side: 4.521553322 Break this problem into two subproblems by setting (x + -0.6666666665) equal to 4.521553322 and -4.521553322.Subproblem 1
x + -0.6666666665 = 4.521553322 Simplifying x + -0.6666666665 = 4.521553322 Reorder the terms: -0.6666666665 + x = 4.521553322 Solving -0.6666666665 + x = 4.521553322 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + x = 4.521553322 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + x = 4.521553322 + 0.6666666665 x = 4.521553322 + 0.6666666665 Combine like terms: 4.521553322 + 0.6666666665 = 5.1882199885 x = 5.1882199885 Simplifying x = 5.1882199885Subproblem 2
x + -0.6666666665 = -4.521553322 Simplifying x + -0.6666666665 = -4.521553322 Reorder the terms: -0.6666666665 + x = -4.521553322 Solving -0.6666666665 + x = -4.521553322 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6666666665' to each side of the equation. -0.6666666665 + 0.6666666665 + x = -4.521553322 + 0.6666666665 Combine like terms: -0.6666666665 + 0.6666666665 = 0.0000000000 0.0000000000 + x = -4.521553322 + 0.6666666665 x = -4.521553322 + 0.6666666665 Combine like terms: -4.521553322 + 0.6666666665 = -3.8548866555 x = -3.8548866555 Simplifying x = -3.8548866555Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.1882199885, -3.8548866555}Solution
x = {5.1882199885, -3.8548866555}
| x-4-3x=2 | | 5x^2-8x-120=0 | | 5x^2-8x-124=0 | | y=1/2x^2-6x-3 | | 5x^2-22x-124=0 | | 5x^2-22x+124=0 | | -2p-6=12-49 | | 5=4x/(1-x) | | -2(-3f+6)=30-f | | 8x-2=15x-2 | | -2a+1=4-3 | | 7p-3q+5q-p= | | =cos^2(4x) | | 7a-4+28=3a+2 | | vi+(axt)=vi | | 4-2w=8 | | P=3l+3w | | 0.50x+0.05(14-x)=0.10(43) | | -6t-(-4)=14 | | -6t-(-4)=1 | | 4a-5(b+2)= | | 4x-11=-2x+1 | | k+75=-95 | | 4x-11=-8-7x | | 15*2+x=10 | | 15*x-5=12 | | 2(2+4a)=21 | | x^2+4x+y^2=9 | | 4+49=21 | | -3*(x-2)+4x=11 | | -8c=-3 | | 3x-12=-8-7x |