If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + 14z = -31 Reorder the terms: 14z + z2 = -31 Solving 14z + z2 = -31 Solving for variable 'z'. Reorder the terms: 31 + 14z + z2 = -31 + 31 Combine like terms: -31 + 31 = 0 31 + 14z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + 14z + -31 + z2 = 0 + -31 Reorder the terms: 31 + -31 + 14z + z2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 14z + z2 = 0 + -31 14z + z2 = 0 + -31 Combine like terms: 0 + -31 = -31 14z + z2 = -31 The z term is 14z. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14z + 49 + z2 = -31 + 49 Reorder the terms: 49 + 14z + z2 = -31 + 49 Combine like terms: -31 + 49 = 18 49 + 14z + z2 = 18 Factor a perfect square on the left side: (z + 7)(z + 7) = 18 Calculate the square root of the right side: 4.242640687 Break this problem into two subproblems by setting (z + 7) equal to 4.242640687 and -4.242640687.Subproblem 1
z + 7 = 4.242640687 Simplifying z + 7 = 4.242640687 Reorder the terms: 7 + z = 4.242640687 Solving 7 + z = 4.242640687 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + z = 4.242640687 + -7 Combine like terms: 7 + -7 = 0 0 + z = 4.242640687 + -7 z = 4.242640687 + -7 Combine like terms: 4.242640687 + -7 = -2.757359313 z = -2.757359313 Simplifying z = -2.757359313Subproblem 2
z + 7 = -4.242640687 Simplifying z + 7 = -4.242640687 Reorder the terms: 7 + z = -4.242640687 Solving 7 + z = -4.242640687 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + z = -4.242640687 + -7 Combine like terms: 7 + -7 = 0 0 + z = -4.242640687 + -7 z = -4.242640687 + -7 Combine like terms: -4.242640687 + -7 = -11.242640687 z = -11.242640687 Simplifying z = -11.242640687Solution
The solution to the problem is based on the solutions from the subproblems. z = {-2.757359313, -11.242640687}
| 2y-23=65 | | 3a+2=13 | | t+14=45 | | -4j^2-56j=100 | | x^5-x^4+7x^3-4x^2+14x+8=1.2 | | 100-50+50+200-100+100= | | f(x)=x^5-x^4+7x^3-4x^2-14x+8 | | x-31=18 | | r^2-3r=50 | | 0.17y+0.09(y+7000)=1930 | | 20zsquared+23z+6=0 | | 1/2*=8 | | 6y+5=-19 | | F^2-18f+17=0 | | 5x+4-3x+7=12+7x | | -4z=2 | | (X^2+3x+1)(x^2+3x-3)=5 | | x/5-6=-14 | | 1.5=1/6x | | 2/3x-x | | 255=4x^4-1 | | 8y-20+72=180 | | 16x^2-50x-100=0 | | 0=5+40t-16t^2 | | f(x)=4x^3-5.5x^2 | | 3x^2+2=194 | | log(px-y)=p | | 7x-9y=25+4(y-3x) | | y=50e-24x | | f(-9)=9x-4 | | x^5-1/32 | | X^2-17x+11=0 |