If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3t2 + 2t + 20 = 50 Reorder the terms: 20 + 2t + 3t2 = 50 Solving 20 + 2t + 3t2 = 50 Solving for variable 't'. Reorder the terms: 20 + -50 + 2t + 3t2 = 50 + -50 Combine like terms: 20 + -50 = -30 -30 + 2t + 3t2 = 50 + -50 Combine like terms: 50 + -50 = 0 -30 + 2t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -10 + 0.6666666667t + t2 = 0 Move the constant term to the right: Add '10' to each side of the equation. -10 + 0.6666666667t + 10 + t2 = 0 + 10 Reorder the terms: -10 + 10 + 0.6666666667t + t2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 0.6666666667t + t2 = 0 + 10 0.6666666667t + t2 = 0 + 10 Combine like terms: 0 + 10 = 10 0.6666666667t + t2 = 10 The t term is 0.6666666667t. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667t + 0.1111111112 + t2 = 10 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667t + t2 = 10 + 0.1111111112 Combine like terms: 10 + 0.1111111112 = 10.1111111112 0.1111111112 + 0.6666666667t + t2 = 10.1111111112 Factor a perfect square on the left side: (t + 0.3333333334)(t + 0.3333333334) = 10.1111111112 Calculate the square root of the right side: 3.179797338 Break this problem into two subproblems by setting (t + 0.3333333334) equal to 3.179797338 and -3.179797338.Subproblem 1
t + 0.3333333334 = 3.179797338 Simplifying t + 0.3333333334 = 3.179797338 Reorder the terms: 0.3333333334 + t = 3.179797338 Solving 0.3333333334 + t = 3.179797338 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + t = 3.179797338 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + t = 3.179797338 + -0.3333333334 t = 3.179797338 + -0.3333333334 Combine like terms: 3.179797338 + -0.3333333334 = 2.8464640046 t = 2.8464640046 Simplifying t = 2.8464640046Subproblem 2
t + 0.3333333334 = -3.179797338 Simplifying t + 0.3333333334 = -3.179797338 Reorder the terms: 0.3333333334 + t = -3.179797338 Solving 0.3333333334 + t = -3.179797338 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + t = -3.179797338 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + t = -3.179797338 + -0.3333333334 t = -3.179797338 + -0.3333333334 Combine like terms: -3.179797338 + -0.3333333334 = -3.5131306714 t = -3.5131306714 Simplifying t = -3.5131306714Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.8464640046, -3.5131306714}
| (9)=1/7*24 | | -3x=1(1/2) | | 0.65(p-10)+0.35(p+2)=-2.8 | | 4x+18=2(441-34x) | | 2*(-2)+(-3)=2*(-2) | | 3/x=19 | | 30=8-8b | | -5+6(x-3)=14x+4-8x | | 14(t-3)+4t=6(3t+5)-13 | | (9)=1/6*12 | | (-x+5)/(2x-4) | | -5(x-5)=3(10-2x)+10x | | ((t-1)/3)+((t+5)/4)=1/2 | | 6x-2=1x-13 | | 3/72= | | b+0.08b=3753 | | 3(6x-2)+4(13-2x)-3(3x+5)=-8 | | 5/x+1/2x=7 | | 2/3*13/14 | | 5d+5-5d=5-5d | | -4-(14x+8)+20=5+x-(15x-3) | | 0.20y-54.40=y | | 9x^2-24x-16=0 | | f(x)=ax^2+5 | | 3(3x-12)=8 | | x^3+4*x^2+x+1=3 | | -a+3=-(a+1)-3 | | 5n=2(3/4) | | 42-6x=2x | | 8x-(4x+2)=7x-20 | | -2x-12+5x=x-8 | | 0.14x+0.06(3000-x)=340 |