If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4k(k + 3) = 19 Reorder the terms: 4k(3 + k) = 19 (3 * 4k + k * 4k) = 19 (12k + 4k2) = 19 Solving 12k + 4k2 = 19 Solving for variable 'k'. Reorder the terms: -19 + 12k + 4k2 = 19 + -19 Combine like terms: 19 + -19 = 0 -19 + 12k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -4.75 + 3k + k2 = 0 Move the constant term to the right: Add '4.75' to each side of the equation. -4.75 + 3k + 4.75 + k2 = 0 + 4.75 Reorder the terms: -4.75 + 4.75 + 3k + k2 = 0 + 4.75 Combine like terms: -4.75 + 4.75 = 0.00 0.00 + 3k + k2 = 0 + 4.75 3k + k2 = 0 + 4.75 Combine like terms: 0 + 4.75 = 4.75 3k + k2 = 4.75 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 = 4.75 + 2.25 Reorder the terms: 2.25 + 3k + k2 = 4.75 + 2.25 Combine like terms: 4.75 + 2.25 = 7 2.25 + 3k + k2 = 7 Factor a perfect square on the left side: (k + 1.5)(k + 1.5) = 7 Calculate the square root of the right side: 2.645751311 Break this problem into two subproblems by setting (k + 1.5) equal to 2.645751311 and -2.645751311.Subproblem 1
k + 1.5 = 2.645751311 Simplifying k + 1.5 = 2.645751311 Reorder the terms: 1.5 + k = 2.645751311 Solving 1.5 + k = 2.645751311 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 = 2.645751311 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + k = 2.645751311 + -1.5 k = 2.645751311 + -1.5 Combine like terms: 2.645751311 + -1.5 = 1.145751311 k = 1.145751311 Simplifying k = 1.145751311Subproblem 2
k + 1.5 = -2.645751311 Simplifying k + 1.5 = -2.645751311 Reorder the terms: 1.5 + k = -2.645751311 Solving 1.5 + k = -2.645751311 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 = -2.645751311 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + k = -2.645751311 + -1.5 k = -2.645751311 + -1.5 Combine like terms: -2.645751311 + -1.5 = -4.145751311 k = -4.145751311 Simplifying k = -4.145751311Solution
The solution to the problem is based on the solutions from the subproblems. k = {1.145751311, -4.145751311}
| -5f=-3(8-f) | | (2x+7)=5(1x-7) | | 5z-6=z+14 | | 4x+6=6x+18 | | 16=8(x-1) | | x^2-63x=0 | | 0=2x^2-5x-117 | | 6(x-4)=7(x+-4) | | 4x+1=13-2x | | -1=-6p-6(9p+1) | | 3b-9=19-4b | | 4x^3-20x=0 | | .125x=3 | | -7x+4=69+6x | | -6(4-t)=12t | | 8v+8-2(-6v-1)=2(v-1) | | -3(7x+2)=-5(9-x)-8x | | x^4+8x^3+7x^2+8x+7=0 | | 8x-16=32 | | 5w+9.9=4.8+8w | | x=-4 | | 2(-6a+3)=-(-10+2a) | | 7+3x=-8 | | 95x=143 | | 30=4+4x+2 | | -1-7v=-(3v-3) | | 9=4x-7 | | (4x+5)-3x=11x | | 1k+9=6(k-11) | | -3p-(p+5)=-p-2 | | 3+5x=-x-33 | | 3x^2+24x=27 |