If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 13t = 6t2 + 1 Reorder the terms: 13t = 1 + 6t2 Solving 13t = 1 + 6t2 Solving for variable 't'. Reorder the terms: -1 + 13t + -6t2 = 1 + 6t2 + -1 + -6t2 Reorder the terms: -1 + 13t + -6t2 = 1 + -1 + 6t2 + -6t2 Combine like terms: 1 + -1 = 0 -1 + 13t + -6t2 = 0 + 6t2 + -6t2 -1 + 13t + -6t2 = 6t2 + -6t2 Combine like terms: 6t2 + -6t2 = 0 -1 + 13t + -6t2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 0.1666666667 + -2.166666667t + t2 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + -2.166666667t + -0.1666666667 + t2 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + -2.166666667t + t2 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + -2.166666667t + t2 = 0 + -0.1666666667 -2.166666667t + t2 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 -2.166666667t + t2 = -0.1666666667 The t term is -2.166666667t. Take half its coefficient (-1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. -2.166666667t + 1.173611113 + t2 = -0.1666666667 + 1.173611113 Reorder the terms: 1.173611113 + -2.166666667t + t2 = -0.1666666667 + 1.173611113 Combine like terms: -0.1666666667 + 1.173611113 = 1.0069444463 1.173611113 + -2.166666667t + t2 = 1.0069444463 Factor a perfect square on the left side: (t + -1.083333334)(t + -1.083333334) = 1.0069444463 Calculate the square root of the right side: 1.003466216 Break this problem into two subproblems by setting (t + -1.083333334) equal to 1.003466216 and -1.003466216.Subproblem 1
t + -1.083333334 = 1.003466216 Simplifying t + -1.083333334 = 1.003466216 Reorder the terms: -1.083333334 + t = 1.003466216 Solving -1.083333334 + t = 1.003466216 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.083333334' to each side of the equation. -1.083333334 + 1.083333334 + t = 1.003466216 + 1.083333334 Combine like terms: -1.083333334 + 1.083333334 = 0.000000000 0.000000000 + t = 1.003466216 + 1.083333334 t = 1.003466216 + 1.083333334 Combine like terms: 1.003466216 + 1.083333334 = 2.08679955 t = 2.08679955 Simplifying t = 2.08679955Subproblem 2
t + -1.083333334 = -1.003466216 Simplifying t + -1.083333334 = -1.003466216 Reorder the terms: -1.083333334 + t = -1.003466216 Solving -1.083333334 + t = -1.003466216 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.083333334' to each side of the equation. -1.083333334 + 1.083333334 + t = -1.003466216 + 1.083333334 Combine like terms: -1.083333334 + 1.083333334 = 0.000000000 0.000000000 + t = -1.003466216 + 1.083333334 t = -1.003466216 + 1.083333334 Combine like terms: -1.003466216 + 1.083333334 = 0.079867118 t = 0.079867118 Simplifying t = 0.079867118Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.08679955, 0.079867118}
| 139+2x+6x+9x=360 | | 7+4w=1+3w | | 3x-2-5x=10 | | -10p=-9p-8 | | 0.15x+0.10(270-x)=31 | | -60+3x=66+10x | | 40=19n | | 11x-81=72+2x | | X^2+10=50 | | -16c+40=-15c+-35 | | y=3x+(-3) | | 9e+4=14 | | 25-55+(80+65)=5 | | -4.5n=5n-n-n | | 4+x(2)=28 | | 2x+9x+x=180 | | 10x+2=4(3x-5) | | -2+v^2=-6 | | 9-4x=(x-4)-1 | | 25-55+(80+65)= | | h+4d=5b | | 0.06m=30 | | 7.5=(2.5)ln(x) | | -3(w+2)=-6-33 | | x^1+5=5 | | 5n-4=87 | | 32x-8=28x-2 | | 3+7x+4x=-129 | | 4-2n=3 | | (5r-2)(r+4)= | | G(x+1)=25+x | | 8r-4=10-2 |