If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 21x = 180 Reorder the terms: 21x + 2x2 = 180 Solving 21x + 2x2 = 180 Solving for variable 'x'. Reorder the terms: -180 + 21x + 2x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 21x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -90 + 10.5x + x2 = 0 Move the constant term to the right: Add '90' to each side of the equation. -90 + 10.5x + 90 + x2 = 0 + 90 Reorder the terms: -90 + 90 + 10.5x + x2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 10.5x + x2 = 0 + 90 10.5x + x2 = 0 + 90 Combine like terms: 0 + 90 = 90 10.5x + x2 = 90 The x term is 10.5x. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5x + 27.5625 + x2 = 90 + 27.5625 Reorder the terms: 27.5625 + 10.5x + x2 = 90 + 27.5625 Combine like terms: 90 + 27.5625 = 117.5625 27.5625 + 10.5x + x2 = 117.5625 Factor a perfect square on the left side: (x + 5.25)(x + 5.25) = 117.5625 Calculate the square root of the right side: 10.842624221 Break this problem into two subproblems by setting (x + 5.25) equal to 10.842624221 and -10.842624221.Subproblem 1
x + 5.25 = 10.842624221 Simplifying x + 5.25 = 10.842624221 Reorder the terms: 5.25 + x = 10.842624221 Solving 5.25 + x = 10.842624221 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = 10.842624221 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = 10.842624221 + -5.25 x = 10.842624221 + -5.25 Combine like terms: 10.842624221 + -5.25 = 5.592624221 x = 5.592624221 Simplifying x = 5.592624221Subproblem 2
x + 5.25 = -10.842624221 Simplifying x + 5.25 = -10.842624221 Reorder the terms: 5.25 + x = -10.842624221 Solving 5.25 + x = -10.842624221 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25' to each side of the equation. 5.25 + -5.25 + x = -10.842624221 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + x = -10.842624221 + -5.25 x = -10.842624221 + -5.25 Combine like terms: -10.842624221 + -5.25 = -16.092624221 x = -16.092624221 Simplifying x = -16.092624221Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.592624221, -16.092624221}
| 4t(t-9)=0 | | a^12-b^6=0 | | 12x^2-60x+76=0 | | 6(5k-8)-2=11(2k-3)+3k | | 14=a^2-5a | | 350-25x=175 | | -7x-9=5x+15 | | -20w^2-13w=15 | | y-4/2=5/3 | | 2z=-31 | | 1x-6=13 | | 6w-12+2=28 | | 56v^2-19v=15 | | 350-25x=5 | | 6x^2+50x=180 | | 20(19z+9)= | | 27x+54=14-(x+2) | | 7208-220b=0 | | 35x+63=12-(x+9) | | 12=v-8/3+7v+4/5 | | 4x+8=7x+11 | | 320+80b=0 | | -g/5+3=-13 | | 3/4x-9=-3 | | -6/5y+1/5=-y-1/3 | | -(g/5)+3=-13 | | 3x+4(7x-11)=142 | | 320+80b=7208-220b | | -1/2-6/5v=-5/3 | | 9t-13t=8 | | 320+80b=2640 | | u/5=u/4+4 |