If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4k2 + 5k = 4 Reorder the terms: 5k + 4k2 = 4 Solving 5k + 4k2 = 4 Solving for variable 'k'. Reorder the terms: -4 + 5k + 4k2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 5k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1 + 1.25k + k2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + 1.25k + 1 + k2 = 0 + 1 Reorder the terms: -1 + 1 + 1.25k + k2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1.25k + k2 = 0 + 1 1.25k + k2 = 0 + 1 Combine like terms: 0 + 1 = 1 1.25k + k2 = 1 The k term is 1.25k. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25k + 0.390625 + k2 = 1 + 0.390625 Reorder the terms: 0.390625 + 1.25k + k2 = 1 + 0.390625 Combine like terms: 1 + 0.390625 = 1.390625 0.390625 + 1.25k + k2 = 1.390625 Factor a perfect square on the left side: (k + 0.625)(k + 0.625) = 1.390625 Calculate the square root of the right side: 1.179247642 Break this problem into two subproblems by setting (k + 0.625) equal to 1.179247642 and -1.179247642.Subproblem 1
k + 0.625 = 1.179247642 Simplifying k + 0.625 = 1.179247642 Reorder the terms: 0.625 + k = 1.179247642 Solving 0.625 + k = 1.179247642 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + k = 1.179247642 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + k = 1.179247642 + -0.625 k = 1.179247642 + -0.625 Combine like terms: 1.179247642 + -0.625 = 0.554247642 k = 0.554247642 Simplifying k = 0.554247642Subproblem 2
k + 0.625 = -1.179247642 Simplifying k + 0.625 = -1.179247642 Reorder the terms: 0.625 + k = -1.179247642 Solving 0.625 + k = -1.179247642 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + k = -1.179247642 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + k = -1.179247642 + -0.625 k = -1.179247642 + -0.625 Combine like terms: -1.179247642 + -0.625 = -1.804247642 k = -1.804247642 Simplifying k = -1.804247642Solution
The solution to the problem is based on the solutions from the subproblems. k = {0.554247642, -1.804247642}
| 3(4+8(7))= | | 5-9+2=3a+1 | | -9y+6x=12 | | 8(2+6(6))= | | 2.8x-4.76=8.4 | | 10x+4x+14=6y+3y+25 | | F(-7)=-2(-7)+5 | | x^2+8x=-39.25 | | 4(2y+5)=3y+80 | | 3.2y-5=3+2(1.4y-4) | | a-50=12 | | 25x^2+4y^2-100=0 | | -8y-12=-4 | | +8x-2x= | | 13-(7x-9)+(32x-11)-(18x+19)=3x-(2x+13) | | -5n-6.4(n-0.8)=81.5 | | 3y+2x=80 | | -x^2+8x=-39.25 | | -6(-7k-8)=132 | | x^2+8x=-39 | | -3u+10u= | | -3(1+5m)=87 | | p-(-5)=6 | | -6(6x-6)+7x=-337 | | 13x+4=360 | | -6h-12=-60 | | -5p+20=-5 | | -19=11a-3 | | (5x^3-3x^2+7x-3)-(-3x^3+5x^2-2)= | | 2(2+6r)=100 | | -8(7+3m)=-152 | | 11x-7=4x+73 |