If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x4 + 16x3 + -48x2 = 0 Reorder the terms: -48x2 + 16x3 + 12x4 = 0 Solving -48x2 + 16x3 + 12x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-12 + 4x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-12 + 4x + 3x2)' equal to zero and attempt to solve: Simplifying -12 + 4x + 3x2 = 0 Solving -12 + 4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -4 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + 1.333333333x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + 1.333333333x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1.333333333x + x2 = 0 + 4 1.333333333x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 1.333333333x + x2 = 4 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 = 4 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = 4 + 0.4444444442 Combine like terms: 4 + 0.4444444442 = 4.4444444442 0.4444444442 + 1.333333333x + x2 = 4.4444444442 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = 4.4444444442 Calculate the square root of the right side: 2.108185107 Break this problem into two subproblems by setting (x + 0.6666666665) equal to 2.108185107 and -2.108185107.Subproblem 1
x + 0.6666666665 = 2.108185107 Simplifying x + 0.6666666665 = 2.108185107 Reorder the terms: 0.6666666665 + x = 2.108185107 Solving 0.6666666665 + x = 2.108185107 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 = 2.108185107 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + x = 2.108185107 + -0.6666666665 x = 2.108185107 + -0.6666666665 Combine like terms: 2.108185107 + -0.6666666665 = 1.4415184405 x = 1.4415184405 Simplifying x = 1.4415184405Subproblem 2
x + 0.6666666665 = -2.108185107 Simplifying x + 0.6666666665 = -2.108185107 Reorder the terms: 0.6666666665 + x = -2.108185107 Solving 0.6666666665 + x = -2.108185107 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 = -2.108185107 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + x = -2.108185107 + -0.6666666665 x = -2.108185107 + -0.6666666665 Combine like terms: -2.108185107 + -0.6666666665 = -2.7748517735 x = -2.7748517735 Simplifying x = -2.7748517735Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.4415184405, -2.7748517735}Solution
x = {0, 1.4415184405, -2.7748517735}
| 2/3(4x-3)=12 | | 121.5=(16.2)(w)(3) | | n^2=-8n-15 | | 103+133+58=(n-2)*180 | | (4r-2)(r-4)= | | 5.1x+8.9x= | | c(x)=100+5x | | 2(73X-2)=14+4X | | -8t-3=-7t | | 2a+4-a+7-6a= | | 71+-5x+(-2x+3)=25-(3x+4)-(4x+3) | | 5x^2-50+10=x+20y | | 5m+3n=-23 | | Y=e^6-2x | | 20n-19n+12=-21 | | 2(75x-2)=14+4x | | (3a^2-2a+1)+(a^2+2a-3)= | | -4(2-Y)=2(4-3Y)-6 | | -1=-1-7 | | G(x)=x^3+10x-39 | | .8x+.7=.9x | | 2(75x-2)=18+4x | | 2(42x+1)=128 | | 12x+44=-4 | | 3g-5+9g=7+15g | | -8g+3=-9g+7 | | 2(75x-2)=23+4x | | 7(x+3)+9=7x+4 | | 12x-5b=-1 | | 2(w+5)+6=-3-15 | | 12.6+4p=1 | | 4Y=10-6Y |