If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5z2 + 7z = 1 Reorder the terms: 7z + 5z2 = 1 Solving 7z + 5z2 = 1 Solving for variable 'z'. Reorder the terms: -1 + 7z + 5z2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 7z + 5z2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -0.2 + 1.4z + z2 = 0 Move the constant term to the right: Add '0.2' to each side of the equation. -0.2 + 1.4z + 0.2 + z2 = 0 + 0.2 Reorder the terms: -0.2 + 0.2 + 1.4z + z2 = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 1.4z + z2 = 0 + 0.2 1.4z + z2 = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 1.4z + z2 = 0.2 The z term is 1.4z. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4z + 0.49 + z2 = 0.2 + 0.49 Reorder the terms: 0.49 + 1.4z + z2 = 0.2 + 0.49 Combine like terms: 0.2 + 0.49 = 0.69 0.49 + 1.4z + z2 = 0.69 Factor a perfect square on the left side: (z + 0.7)(z + 0.7) = 0.69 Calculate the square root of the right side: 0.830662386 Break this problem into two subproblems by setting (z + 0.7) equal to 0.830662386 and -0.830662386.Subproblem 1
z + 0.7 = 0.830662386 Simplifying z + 0.7 = 0.830662386 Reorder the terms: 0.7 + z = 0.830662386 Solving 0.7 + z = 0.830662386 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + z = 0.830662386 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + z = 0.830662386 + -0.7 z = 0.830662386 + -0.7 Combine like terms: 0.830662386 + -0.7 = 0.130662386 z = 0.130662386 Simplifying z = 0.130662386Subproblem 2
z + 0.7 = -0.830662386 Simplifying z + 0.7 = -0.830662386 Reorder the terms: 0.7 + z = -0.830662386 Solving 0.7 + z = -0.830662386 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + z = -0.830662386 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + z = -0.830662386 + -0.7 z = -0.830662386 + -0.7 Combine like terms: -0.830662386 + -0.7 = -1.530662386 z = -1.530662386 Simplifying z = -1.530662386Solution
The solution to the problem is based on the solutions from the subproblems. z = {0.130662386, -1.530662386}
| 3x+6y=357 | | -5(2x+9)=4(x+47) | | 0.25(x-2)=5x+10 | | 6n+8=9n-7 | | y=-6m+9 | | 8b-6b-b=15 | | 1.5x*1.5y=90 | | 6n^2-2n=0 | | y+3y+y+2y=7 | | 1.5a-1.4=1.8a | | 4-5(7h-6)=-8(8+2h)-5h | | 2a-5=a-3 | | 6p+3p+p=20 | | 6(n-90)=42 | | 5x-5=68 | | 2(4x+2)=10-9x | | -5f^2+3=0 | | -4v-8(4v+2)=-16-5v | | 4+2=7-10 | | x+2x=92 | | -4g^2+3g+3=0 | | -24=27+5(x-4.2) | | 9x-4=x+2(4x-1) | | -5(6-2v)=5(v-4) | | 2(x-1)-(x+5)=37 | | 2p=-4p+11.5 | | d^2-28d=25 | | -3n=-15-6n | | -3=-15-6n | | .8k+7=.7k+19 | | 12x+16y= | | -5(1-7n)=-8(-8n-3) |