If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (z + 10)(z + 10) = 24 Reorder the terms: (10 + z)(z + 10) = 24 Reorder the terms: (10 + z)(10 + z) = 24 Multiply (10 + z) * (10 + z) (10(10 + z) + z(10 + z)) = 24 ((10 * 10 + z * 10) + z(10 + z)) = 24 ((100 + 10z) + z(10 + z)) = 24 (100 + 10z + (10 * z + z * z)) = 24 (100 + 10z + (10z + z2)) = 24 Combine like terms: 10z + 10z = 20z (100 + 20z + z2) = 24 Solving 100 + 20z + z2 = 24 Solving for variable 'z'. Reorder the terms: 100 + -24 + 20z + z2 = 24 + -24 Combine like terms: 100 + -24 = 76 76 + 20z + z2 = 24 + -24 Combine like terms: 24 + -24 = 0 76 + 20z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-76' to each side of the equation. 76 + 20z + -76 + z2 = 0 + -76 Reorder the terms: 76 + -76 + 20z + z2 = 0 + -76 Combine like terms: 76 + -76 = 0 0 + 20z + z2 = 0 + -76 20z + z2 = 0 + -76 Combine like terms: 0 + -76 = -76 20z + z2 = -76 The z term is 20z. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20z + 100 + z2 = -76 + 100 Reorder the terms: 100 + 20z + z2 = -76 + 100 Combine like terms: -76 + 100 = 24 100 + 20z + z2 = 24 Factor a perfect square on the left side: (z + 10)(z + 10) = 24 Calculate the square root of the right side: 4.898979486 Break this problem into two subproblems by setting (z + 10) equal to 4.898979486 and -4.898979486.Subproblem 1
z + 10 = 4.898979486 Simplifying z + 10 = 4.898979486 Reorder the terms: 10 + z = 4.898979486 Solving 10 + z = 4.898979486 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + z = 4.898979486 + -10 Combine like terms: 10 + -10 = 0 0 + z = 4.898979486 + -10 z = 4.898979486 + -10 Combine like terms: 4.898979486 + -10 = -5.101020514 z = -5.101020514 Simplifying z = -5.101020514Subproblem 2
z + 10 = -4.898979486 Simplifying z + 10 = -4.898979486 Reorder the terms: 10 + z = -4.898979486 Solving 10 + z = -4.898979486 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + z = -4.898979486 + -10 Combine like terms: 10 + -10 = 0 0 + z = -4.898979486 + -10 z = -4.898979486 + -10 Combine like terms: -4.898979486 + -10 = -14.898979486 z = -14.898979486 Simplifying z = -14.898979486Solution
The solution to the problem is based on the solutions from the subproblems. z = {-5.101020514, -14.898979486}
| z-9=7 | | 10x-3x=7x-23 | | 1-3p=13-p | | 1/4x=30 | | 1/4x=30 | | 3(2x-1)=-75 | | -2/-10 | | 8x-6x+9=0 | | 33-5x=4x | | 0.12(y-6)+0.06y=0.08-0.7 | | 2x+3(x+1)=-2(1-2x) | | 14+4(x-7)=10 | | -33-b=-3+4(b-5) | | 9x^4-72x^2-25=0 | | 4x=2.4 | | (4x-y)(4x+y)=o | | 21+8y=85 | | f(x)=log(x-2)+log(x)-log(8) | | 24m+4=(5m+7) | | 1/4x-8+2/4=19 | | 2f-3=4f-12 | | 2/5+(1/3-1/5) | | 2f-3f=4f-12 | | h=rt-16t^2 | | 10+5(2y-1)=10 | | 7x+4-12x=-1+23 | | h+8/2=h | | m-4/3=-4/9 | | 2(x+8)=-16+6x | | -6x=-64+2x | | 14(v+3)-2v=(3v+2)-10 | | 4x-9(x+1)=2.645751311-5x |