If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4k2 + 18k + -18 = 0 Reorder the terms: -18 + 18k + 4k2 = 0 Solving -18 + 18k + 4k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 9k + 2k2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 9k + 2k2)' equal to zero and attempt to solve: Simplifying -9 + 9k + 2k2 = 0 Solving -9 + 9k + 2k2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -4.5 + 4.5k + k2 = 0 Move the constant term to the right: Add '4.5' to each side of the equation. -4.5 + 4.5k + 4.5 + k2 = 0 + 4.5 Reorder the terms: -4.5 + 4.5 + 4.5k + k2 = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 4.5k + k2 = 0 + 4.5 4.5k + k2 = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 4.5k + k2 = 4.5 The k term is 4.5k. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5k + 5.0625 + k2 = 4.5 + 5.0625 Reorder the terms: 5.0625 + 4.5k + k2 = 4.5 + 5.0625 Combine like terms: 4.5 + 5.0625 = 9.5625 5.0625 + 4.5k + k2 = 9.5625 Factor a perfect square on the left side: (k + 2.25)(k + 2.25) = 9.5625 Calculate the square root of the right side: 3.092329219 Break this problem into two subproblems by setting (k + 2.25) equal to 3.092329219 and -3.092329219.Subproblem 1
k + 2.25 = 3.092329219 Simplifying k + 2.25 = 3.092329219 Reorder the terms: 2.25 + k = 3.092329219 Solving 2.25 + k = 3.092329219 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + k = 3.092329219 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + k = 3.092329219 + -2.25 k = 3.092329219 + -2.25 Combine like terms: 3.092329219 + -2.25 = 0.842329219 k = 0.842329219 Simplifying k = 0.842329219Subproblem 2
k + 2.25 = -3.092329219 Simplifying k + 2.25 = -3.092329219 Reorder the terms: 2.25 + k = -3.092329219 Solving 2.25 + k = -3.092329219 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + k = -3.092329219 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + k = -3.092329219 + -2.25 k = -3.092329219 + -2.25 Combine like terms: -3.092329219 + -2.25 = -5.342329219 k = -5.342329219 Simplifying k = -5.342329219Solution
The solution to the problem is based on the solutions from the subproblems. k = {0.842329219, -5.342329219}Solution
k = {0.842329219, -5.342329219}
| y=-0.0741x^2 | | 2k^2+9k-9=0 | | 76+4x= | | 10m^5/3 | | 2x^2+y^2-x-2y+6=0 | | 5555=555 | | Xy+xz=6 | | (5*2x)+(7*3x)=260000 | | 18x+14y=4314 | | Solve(x+1)(x+2)(x+3)(x+5)=144 | | 4t+17=5 | | 3(5t-3)+(4t-8)= | | 5z+2+4z=85 | | 7(4+U)= | | g(x)=af(x+b) | | (2x+5)(3x-5)=90 | | 9x=78x | | (11+4)14=49 | | (3+4)14=49 | | (2+4)14=49 | | 48400(100-10)(100-10)=32400(100+10)(100+10) | | (7+4)14=49 | | 0.72x+1.5+3x=2x+9 | | 48400(100-x)(100-x)=32400(100+x)(100+x) | | 2x*x=16 | | 1.7x*x=16 | | (3x+4)(x-10)+(10-x)(x-8)=0 | | (x+4)14=49 | | 3=m-8 | | 5x+1200+1x=2700 | | 3=2n+11 | | 5x+1200+4x=2700 |