If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 18k2 + -54k + 30 = 0 Reorder the terms: 30 + -54k + 18k2 = 0 Solving 30 + -54k + 18k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6'. 6(5 + -9k + 3k2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5 + -9k + 3k2)' equal to zero and attempt to solve: Simplifying 5 + -9k + 3k2 = 0 Solving 5 + -9k + 3k2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.666666667 + -3k + k2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + -3k + -1.666666667 + k2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + -3k + k2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + -3k + k2 = 0 + -1.666666667 -3k + k2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 -3k + k2 = -1.666666667 The k term is -3k. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3k + 2.25 + k2 = -1.666666667 + 2.25 Reorder the terms: 2.25 + -3k + k2 = -1.666666667 + 2.25 Combine like terms: -1.666666667 + 2.25 = 0.583333333 2.25 + -3k + k2 = 0.583333333 Factor a perfect square on the left side: (k + -1.5)(k + -1.5) = 0.583333333 Calculate the square root of the right side: 0.763762616 Break this problem into two subproblems by setting (k + -1.5) equal to 0.763762616 and -0.763762616.Subproblem 1
k + -1.5 = 0.763762616 Simplifying k + -1.5 = 0.763762616 Reorder the terms: -1.5 + k = 0.763762616 Solving -1.5 + k = 0.763762616 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + k = 0.763762616 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + k = 0.763762616 + 1.5 k = 0.763762616 + 1.5 Combine like terms: 0.763762616 + 1.5 = 2.263762616 k = 2.263762616 Simplifying k = 2.263762616Subproblem 2
k + -1.5 = -0.763762616 Simplifying k + -1.5 = -0.763762616 Reorder the terms: -1.5 + k = -0.763762616 Solving -1.5 + k = -0.763762616 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + k = -0.763762616 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + k = -0.763762616 + 1.5 k = -0.763762616 + 1.5 Combine like terms: -0.763762616 + 1.5 = 0.736237384 k = 0.736237384 Simplifying k = 0.736237384Solution
The solution to the problem is based on the solutions from the subproblems. k = {2.263762616, 0.736237384}Solution
k = {2.263762616, 0.736237384}
| 3m+6=3m-14 | | 15(t-6)+6t=7(3t+4)-10 | | 4(x+2)=4(x+5) | | 33=-3(4+5f) | | -24=4x-12 | | 8+4r-4=5r+10-3r | | (z-5)(z-5)+36=0 | | 3(4-3)=30 | | m-110=20 | | -9y-4=59 | | 5(9-m)= | | -6x-22=-8(-8x-6) | | 180-y=40 | | y^2=40 | | -20x+19/15=0 | | -20x+19/15=x | | -20x+19/15= | | 11x^2-16x-12=0 | | 3*4a+2=2*a-2 | | p+26+p+3p-33=928 | | 3x+9=6x+6 | | 4m+13=8m-3 | | 28-3(4+2)= | | 10m+8=7m+1 | | 0.3y=2 | | -4g-8g=36 | | 5.5x+32=57 | | 2z-5(4-z)=3(2z-6)+z-2 | | X(x-3)(x-4)=0 | | -12x+12=12x-12 | | 0.3y=12 | | 8x(x+1)=0 |