If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6z2 + -11z + -2 = -13z Reorder the terms: -2 + -11z + 6z2 = -13z Solving -2 + -11z + 6z2 = -13z Solving for variable 'z'. Reorder the terms: -2 + -11z + 13z + 6z2 = -13z + 13z Combine like terms: -11z + 13z = 2z -2 + 2z + 6z2 = -13z + 13z Combine like terms: -13z + 13z = 0 -2 + 2z + 6z2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + z + 3z2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + z + 3z2)' equal to zero and attempt to solve: Simplifying -1 + z + 3z2 = 0 Solving -1 + z + 3z2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -0.3333333333 + 0.3333333333z + z2 = 0 Move the constant term to the right: Add '0.3333333333' to each side of the equation. -0.3333333333 + 0.3333333333z + 0.3333333333 + z2 = 0 + 0.3333333333 Reorder the terms: -0.3333333333 + 0.3333333333 + 0.3333333333z + z2 = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + 0.3333333333z + z2 = 0 + 0.3333333333 0.3333333333z + z2 = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 0.3333333333z + z2 = 0.3333333333 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. 0.3333333333z + 0.25 + z2 = 0.3333333333 + 0.25 Reorder the terms: 0.25 + 0.3333333333z + z2 = 0.3333333333 + 0.25 Combine like terms: 0.3333333333 + 0.25 = 0.5833333333 0.25 + 0.3333333333z + z2 = 0.5833333333 Factor a perfect square on the left side: (z + 0.5)(z + 0.5) = 0.5833333333 Calculate the square root of the right side: 0.763762616 Break this problem into two subproblems by setting (z + 0.5) equal to 0.763762616 and -0.763762616.Subproblem 1
z + 0.5 = 0.763762616 Simplifying z + 0.5 = 0.763762616 Reorder the terms: 0.5 + z = 0.763762616 Solving 0.5 + z = 0.763762616 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 = 0.763762616 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + z = 0.763762616 + -0.5 z = 0.763762616 + -0.5 Combine like terms: 0.763762616 + -0.5 = 0.263762616 z = 0.263762616 Simplifying z = 0.263762616Subproblem 2
z + 0.5 = -0.763762616 Simplifying z + 0.5 = -0.763762616 Reorder the terms: 0.5 + z = -0.763762616 Solving 0.5 + z = -0.763762616 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 = -0.763762616 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + z = -0.763762616 + -0.5 z = -0.763762616 + -0.5 Combine like terms: -0.763762616 + -0.5 = -1.263762616 z = -1.263762616 Simplifying z = -1.263762616Solution
The solution to the problem is based on the solutions from the subproblems. z = {0.263762616, -1.263762616}Solution
z = {0.263762616, -1.263762616}
| 6.1+a=7.2 | | 4x^4-16=0 | | (4/5)(2x+5)-(1/4)(x-8)=0 | | -4(5t-4)+7t=2t-6 | | 20x^2-32x+3=0 | | 7[5c-4]=15-8c | | Y=16x+16b | | (3x-2)=28 | | m-(6m-2)= | | 0.18y+0.03(y+9000)=1740 | | 6X^2/6X^3 | | S(t)=-t^2+4t+1 | | 0=.0001x^2+.07x-1.6 | | P(x)=7x^2+6x-2 | | -3-(n-1)-2(n-2)=-3+(n-2)+4 | | 12(3x-2)=28 | | 4x(3x+1)(x-1)= | | 3x^2=2-8x | | 2+7=57 | | 3(x-2)-9x+2(3x+7)-8=0 | | x+(.16)x=17.4 | | ln(10*x)=x | | 175=60+(15+9)w | | 6x^2(3x-2)=28 | | 4x+8=18+2x | | 4=2/5(4y-2) | | -13/20x=3 | | 2m^2=50m | | 60+(15+9)w=175 | | 0.16x+0.8(x-1)=0.01(4x-2) | | 2=5+2(7b-1) | | 8x^2-8x-16+7x+14-5x+5=0 |