If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5t2 + 27t + -1 = 0 Reorder the terms: -1 + 27t + 5t2 = 0 Solving -1 + 27t + 5t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -0.2 + 5.4t + t2 = 0 Move the constant term to the right: Add '0.2' to each side of the equation. -0.2 + 5.4t + 0.2 + t2 = 0 + 0.2 Reorder the terms: -0.2 + 0.2 + 5.4t + t2 = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 5.4t + t2 = 0 + 0.2 5.4t + t2 = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 5.4t + t2 = 0.2 The t term is 5.4t. Take half its coefficient (2.7). Square it (7.29) and add it to both sides. Add '7.29' to each side of the equation. 5.4t + 7.29 + t2 = 0.2 + 7.29 Reorder the terms: 7.29 + 5.4t + t2 = 0.2 + 7.29 Combine like terms: 0.2 + 7.29 = 7.49 7.29 + 5.4t + t2 = 7.49 Factor a perfect square on the left side: (t + 2.7)(t + 2.7) = 7.49 Calculate the square root of the right side: 2.736786437 Break this problem into two subproblems by setting (t + 2.7) equal to 2.736786437 and -2.736786437.Subproblem 1
t + 2.7 = 2.736786437 Simplifying t + 2.7 = 2.736786437 Reorder the terms: 2.7 + t = 2.736786437 Solving 2.7 + t = 2.736786437 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.7' to each side of the equation. 2.7 + -2.7 + t = 2.736786437 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + t = 2.736786437 + -2.7 t = 2.736786437 + -2.7 Combine like terms: 2.736786437 + -2.7 = 0.036786437 t = 0.036786437 Simplifying t = 0.036786437Subproblem 2
t + 2.7 = -2.736786437 Simplifying t + 2.7 = -2.736786437 Reorder the terms: 2.7 + t = -2.736786437 Solving 2.7 + t = -2.736786437 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.7' to each side of the equation. 2.7 + -2.7 + t = -2.736786437 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + t = -2.736786437 + -2.7 t = -2.736786437 + -2.7 Combine like terms: -2.736786437 + -2.7 = -5.436786437 t = -5.436786437 Simplifying t = -5.436786437Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.036786437, -5.436786437}
| 2z^2+7=0 | | x+5x=84 | | 8x^2+16x-10=0 | | 15n+3=20n | | 50+3x=86-x | | 3a^3-5a^2-2a=0 | | 3x+x+2=0 | | 2x+7=-3x+9 | | d-9=-2 | | 2y-5y+8+3= | | 2x+x+7x^2-10x^2= | | 4x+x(x-3)=0 | | 5(x+2)=3(x+6) | | c+9c+2= | | 4x^2+34x=18+y | | 5t-t+2+8= | | -8x+10+2x=-104 | | 3x^2=2 | | 10n^2+4n^2+3n= | | 7x+-3=3x+9 | | -6a+2a+5b-2b= | | 9x+34-6x=106 | | 4r-3r= | | -(a-9)=3a+17 | | (5x+3)+7= | | -5x+x+8y^2-6y^2= | | 3gh=f+3 | | 14.5x+2=4.5x+18 | | r^2+3=0 | | -11+10x+-33=x+2x+100 | | -4p^2-3p^2+5q+2q= | | x^2+13=6x |