If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 312x + 420 = 0 Reorder the terms: 420 + 312x + 3x2 = 0 Solving 420 + 312x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(140 + 104x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(140 + 104x + x2)' equal to zero and attempt to solve: Simplifying 140 + 104x + x2 = 0 Solving 140 + 104x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-140' to each side of the equation. 140 + 104x + -140 + x2 = 0 + -140 Reorder the terms: 140 + -140 + 104x + x2 = 0 + -140 Combine like terms: 140 + -140 = 0 0 + 104x + x2 = 0 + -140 104x + x2 = 0 + -140 Combine like terms: 0 + -140 = -140 104x + x2 = -140 The x term is 104x. Take half its coefficient (52). Square it (2704) and add it to both sides. Add '2704' to each side of the equation. 104x + 2704 + x2 = -140 + 2704 Reorder the terms: 2704 + 104x + x2 = -140 + 2704 Combine like terms: -140 + 2704 = 2564 2704 + 104x + x2 = 2564 Factor a perfect square on the left side: (x + 52)(x + 52) = 2564 Calculate the square root of the right side: 50.635955605 Break this problem into two subproblems by setting (x + 52) equal to 50.635955605 and -50.635955605.Subproblem 1
x + 52 = 50.635955605 Simplifying x + 52 = 50.635955605 Reorder the terms: 52 + x = 50.635955605 Solving 52 + x = 50.635955605 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + x = 50.635955605 + -52 Combine like terms: 52 + -52 = 0 0 + x = 50.635955605 + -52 x = 50.635955605 + -52 Combine like terms: 50.635955605 + -52 = -1.364044395 x = -1.364044395 Simplifying x = -1.364044395Subproblem 2
x + 52 = -50.635955605 Simplifying x + 52 = -50.635955605 Reorder the terms: 52 + x = -50.635955605 Solving 52 + x = -50.635955605 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + x = -50.635955605 + -52 Combine like terms: 52 + -52 = 0 0 + x = -50.635955605 + -52 x = -50.635955605 + -52 Combine like terms: -50.635955605 + -52 = -102.635955605 x = -102.635955605 Simplifying x = -102.635955605Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.364044395, -102.635955605}Solution
x = {-1.364044395, -102.635955605}
| -8j-11=-27 | | Y=-16XSQUARED+18X+112 | | 7x=2x-15+28-4x | | y^2-4x-8y+24=0 | | 8(12x-44)=-1120 | | 10(-15x-15)=-1350 | | Log(x+3)-log(x-3)=1 | | -4-8=48 | | -24+x=45 | | 7x+89=-93 | | r/2=7/10 | | .4(x-2)=3.4-.2x | | 6x+20=3x-2 | | 3=x/-24-2 | | r/2-7/10 | | -1/2x-1/3=-8/7 | | 52-25x=-18x-200 | | 11xp=144 | | 11xp=122 | | 14x/24×6/7x | | 11xp=44 | | 8x+321=21x-342 | | ×^-2×-5/×-3 | | -4/3-1/5w=-5/2 | | x-7=420 | | 2s-6p=3Q | | 7x-24.65=6.7 | | (x-4)(x+2)=(x-5)(x-6) | | 4x-5=89 | | 3(60)+7=60 | | Y=0.14+0.94X | | (xy^2+y^2)dx-xdy=0 |