If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2z2 + 2z = 7 Reorder the terms: 2z + 2z2 = 7 Solving 2z + 2z2 = 7 Solving for variable 'z'. Reorder the terms: -7 + 2z + 2z2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 2z + 2z2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3.5 + z + z2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + z + 3.5 + z2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + z + z2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + z + z2 = 0 + 3.5 z + z2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 z + z2 = 3.5 The z term is z. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + z2 = 3.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + z2 = 3.5 + 0.25 Combine like terms: 3.5 + 0.25 = 3.75 1.25 + z2 = 3.75 Factor a perfect square on the left side: (z + 0.5)(z + 0.5) = 3.75 Calculate the square root of the right side: 1.936491673 Break this problem into two subproblems by setting (z + 0.5) equal to 1.936491673 and -1.936491673.Subproblem 1
z + 0.5 = 1.936491673 Simplifying z + 0.5 = 1.936491673 Reorder the terms: 0.5 + z = 1.936491673 Solving 0.5 + z = 1.936491673 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + z = 1.936491673 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + z = 1.936491673 + -0.5 z = 1.936491673 + -0.5 Combine like terms: 1.936491673 + -0.5 = 1.436491673 z = 1.436491673 Simplifying z = 1.436491673Subproblem 2
z + 0.5 = -1.936491673 Simplifying z + 0.5 = -1.936491673 Reorder the terms: 0.5 + z = -1.936491673 Solving 0.5 + z = -1.936491673 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + z = -1.936491673 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + z = -1.936491673 + -0.5 z = -1.936491673 + -0.5 Combine like terms: -1.936491673 + -0.5 = -2.436491673 z = -2.436491673 Simplifying z = -2.436491673Solution
The solution to the problem is based on the solutions from the subproblems. z = {1.436491673, -2.436491673}
| -2(5x+2)+12x=-2(-x+2) | | 4b=22+5(5b-4) | | 4x^4=-36x^2 | | 18a^2-32=0 | | 12x=x-8 | | 2m+5m-7=42 | | 3(3x-5)=87 | | 164=-4(-8+7k) | | y=16*sin(5) | | 14d-6d=40 | | q^2-8q+7=0 | | 5(x-8)-6=-86 | | 8(2x+7)=16x-9 | | P(n)=n^2-9n+20 | | H+b+c+d+g+e=db | | -2(5k-1)=82 | | 10m-7m=33 | | 8x+5=8x-7 | | 15=6v+5-v | | 2x-5(x-2)=-3+4x-8 | | 20x-20=3x+5 | | 2x-4(x-2)=-3+4x-8 | | a+b+c+d+g+e=db | | -3xy-2xy+5xy= | | -9f^4+6r^3+7r^3-16=0 | | n+9n+20=0 | | 6=8+4x-6x | | m^2+24m+23=0 | | m-8+1=0 | | 3(2x+1)+5x(2x+1)=0 | | 12=x+5x | | 10m+5n-5m+10n= |