If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 24t2 + -66t + -27 Reorder the terms: 0 = -27 + -66t + 24t2 Solving 0 = -27 + -66t + 24t2 Solving for variable 't'. Combine like terms: 0 + 27 = 27 27 + 66t + -24t2 = -27 + -66t + 24t2 + 27 + 66t + -24t2 Reorder the terms: 27 + 66t + -24t2 = -27 + 27 + -66t + 66t + 24t2 + -24t2 Combine like terms: -27 + 27 = 0 27 + 66t + -24t2 = 0 + -66t + 66t + 24t2 + -24t2 27 + 66t + -24t2 = -66t + 66t + 24t2 + -24t2 Combine like terms: -66t + 66t = 0 27 + 66t + -24t2 = 0 + 24t2 + -24t2 27 + 66t + -24t2 = 24t2 + -24t2 Combine like terms: 24t2 + -24t2 = 0 27 + 66t + -24t2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(9 + 22t + -8t2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + 22t + -8t2)' equal to zero and attempt to solve: Simplifying 9 + 22t + -8t2 = 0 Solving 9 + 22t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -1.125 + -2.75t + t2 = 0 Move the constant term to the right: Add '1.125' to each side of the equation. -1.125 + -2.75t + 1.125 + t2 = 0 + 1.125 Reorder the terms: -1.125 + 1.125 + -2.75t + t2 = 0 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + -2.75t + t2 = 0 + 1.125 -2.75t + t2 = 0 + 1.125 Combine like terms: 0 + 1.125 = 1.125 -2.75t + t2 = 1.125 The t term is -2.75t. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75t + 1.890625 + t2 = 1.125 + 1.890625 Reorder the terms: 1.890625 + -2.75t + t2 = 1.125 + 1.890625 Combine like terms: 1.125 + 1.890625 = 3.015625 1.890625 + -2.75t + t2 = 3.015625 Factor a perfect square on the left side: (t + -1.375)(t + -1.375) = 3.015625 Calculate the square root of the right side: 1.736555499 Break this problem into two subproblems by setting (t + -1.375) equal to 1.736555499 and -1.736555499.Subproblem 1
t + -1.375 = 1.736555499 Simplifying t + -1.375 = 1.736555499 Reorder the terms: -1.375 + t = 1.736555499 Solving -1.375 + t = 1.736555499 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + t = 1.736555499 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + t = 1.736555499 + 1.375 t = 1.736555499 + 1.375 Combine like terms: 1.736555499 + 1.375 = 3.111555499 t = 3.111555499 Simplifying t = 3.111555499Subproblem 2
t + -1.375 = -1.736555499 Simplifying t + -1.375 = -1.736555499 Reorder the terms: -1.375 + t = -1.736555499 Solving -1.375 + t = -1.736555499 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + t = -1.736555499 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + t = -1.736555499 + 1.375 t = -1.736555499 + 1.375 Combine like terms: -1.736555499 + 1.375 = -0.361555499 t = -0.361555499 Simplifying t = -0.361555499Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.111555499, -0.361555499}Solution
t = {3.111555499, -0.361555499}
| -7+12=n | | 7a-3b+4a-5b= | | 3+4x-3=2x+6-x | | C+61=0 | | 1-x+11=x-6 | | 10/5=F-32/9 | | 3+3*x=78 | | -8y-6+9y=-2 | | 3x-52= | | l/1.5=3 | | f(x)=x^3-5x^2+3x+6 | | 47p^2-35p=0 | | 3x-52=180 | | 3x^2+6x+90=-6 | | f(-x)=2x^2+2x+4 | | p^2+24p=0 | | 12x+4-2x-4=13 | | 4v-14=54 | | 70-63= | | (n+16)+4n=256 | | 5(x+2)=10x-5 | | 2=4(n+3) | | M^2-8m+59=-2 | | 10x-18=12x+26 | | 10n^2-27n+5=0 | | (n+16)+(4n+16)=256 | | -9x+14+11x-23=2 | | A=0.5(a+b)x | | 9b^2+18b+79=-10 | | 1/2x-2y=2 | | 3(x-4)-10=2 | | 8=6(n+7) |