If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12x2 + -96x = 144 Reorder the terms: -96x + 12x2 = 144 Solving -96x + 12x2 = 144 Solving for variable 'x'. Reorder the terms: -144 + -96x + 12x2 = 144 + -144 Combine like terms: 144 + -144 = 0 -144 + -96x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-12 + -8x + x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-12 + -8x + x2)' equal to zero and attempt to solve: Simplifying -12 + -8x + x2 = 0 Solving -12 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '12' to each side of the equation. -12 + -8x + 12 + x2 = 0 + 12 Reorder the terms: -12 + 12 + -8x + x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -8x + x2 = 0 + 12 -8x + x2 = 0 + 12 Combine like terms: 0 + 12 = 12 -8x + x2 = 12 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = 12 + 16 Reorder the terms: 16 + -8x + x2 = 12 + 16 Combine like terms: 12 + 16 = 28 16 + -8x + x2 = 28 Factor a perfect square on the left side: (x + -4)(x + -4) = 28 Calculate the square root of the right side: 5.291502622 Break this problem into two subproblems by setting (x + -4) equal to 5.291502622 and -5.291502622.Subproblem 1
x + -4 = 5.291502622 Simplifying x + -4 = 5.291502622 Reorder the terms: -4 + x = 5.291502622 Solving -4 + x = 5.291502622 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 5.291502622 + 4 Combine like terms: -4 + 4 = 0 0 + x = 5.291502622 + 4 x = 5.291502622 + 4 Combine like terms: 5.291502622 + 4 = 9.291502622 x = 9.291502622 Simplifying x = 9.291502622Subproblem 2
x + -4 = -5.291502622 Simplifying x + -4 = -5.291502622 Reorder the terms: -4 + x = -5.291502622 Solving -4 + x = -5.291502622 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -5.291502622 + 4 Combine like terms: -4 + 4 = 0 0 + x = -5.291502622 + 4 x = -5.291502622 + 4 Combine like terms: -5.291502622 + 4 = -1.291502622 x = -1.291502622 Simplifying x = -1.291502622Solution
The solution to the problem is based on the solutions from the subproblems. x = {9.291502622, -1.291502622}Solution
x = {9.291502622, -1.291502622}
| 6z+4=9z+9 | | 4.9t+9t+3=0 | | 3z+5=9z+9 | | 3x^2+24x+48=8 | | 100+.30x=80+.80x | | 4p^2=-12p-9 | | 2(3a+4)=6 | | 2a-9=4(3a+1)-6 | | 6x^2+26x=-28 | | 40x^2-88x+48= | | 2(5x-13)-x=3(x-3)+7 | | 2m+6-4m=6 | | 4a-21=7a | | 3(x+1)=4y | | 4x+12=3x-10 | | 2y(x+2x)= | | 8d=-48 | | 3+2x=-41 | | -2(3t-5)+3t=8t-4 | | 8x+5+10x-7=180 | | 6x^2+13x+42.25=28+42.25 | | 5-5-3t= | | 19-n=38 | | 0.54(12)+0.06x=0.18(6+x) | | 5(3x-y)=0 | | -0.5w=-35 | | 4-3a=5a+28 | | 5x+20=6(5x-5) | | 0.46-0.642= | | 3y^4+7y^2-54=0 | | 5-5x=16-(6x+4) | | 0.5x-0.3(20+x)=0.4(20) |