If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 30 = -5t2 + 30t + 10 Reorder the terms: 30 = 10 + 30t + -5t2 Solving 30 = 10 + 30t + -5t2 Solving for variable 't'. Combine like terms: 30 + -10 = 20 20 + -30t + 5t2 = 10 + 30t + -5t2 + -10 + -30t + 5t2 Reorder the terms: 20 + -30t + 5t2 = 10 + -10 + 30t + -30t + -5t2 + 5t2 Combine like terms: 10 + -10 = 0 20 + -30t + 5t2 = 0 + 30t + -30t + -5t2 + 5t2 20 + -30t + 5t2 = 30t + -30t + -5t2 + 5t2 Combine like terms: 30t + -30t = 0 20 + -30t + 5t2 = 0 + -5t2 + 5t2 20 + -30t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 20 + -30t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(4 + -6t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -6t + t2)' equal to zero and attempt to solve: Simplifying 4 + -6t + t2 = 0 Solving 4 + -6t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -6t + -4 + t2 = 0 + -4 Reorder the terms: 4 + -4 + -6t + t2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6t + t2 = 0 + -4 -6t + t2 = 0 + -4 Combine like terms: 0 + -4 = -4 -6t + t2 = -4 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -4 + 9 Reorder the terms: 9 + -6t + t2 = -4 + 9 Combine like terms: -4 + 9 = 5 9 + -6t + t2 = 5 Factor a perfect square on the left side: (t + -3)(t + -3) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (t + -3) equal to 2.236067978 and -2.236067978.Subproblem 1
t + -3 = 2.236067978 Simplifying t + -3 = 2.236067978 Reorder the terms: -3 + t = 2.236067978 Solving -3 + t = 2.236067978 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 2.236067978 + 3 Combine like terms: -3 + 3 = 0 0 + t = 2.236067978 + 3 t = 2.236067978 + 3 Combine like terms: 2.236067978 + 3 = 5.236067978 t = 5.236067978 Simplifying t = 5.236067978Subproblem 2
t + -3 = -2.236067978 Simplifying t + -3 = -2.236067978 Reorder the terms: -3 + t = -2.236067978 Solving -3 + t = -2.236067978 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = -2.236067978 + 3 Combine like terms: -3 + 3 = 0 0 + t = -2.236067978 + 3 t = -2.236067978 + 3 Combine like terms: -2.236067978 + 3 = 0.763932022 t = 0.763932022 Simplifying t = 0.763932022Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.236067978, 0.763932022}Solution
t = {5.236067978, 0.763932022}
| 3x-17=7x-13 | | 1.5+N=7 | | 3.5x+0.1=1.82 | | x+-28x=82 | | -4a-(9-6a)= | | X^3-5x^2-13x+6=0 | | 6x+13+35=90 | | 2x-2=15x | | x^2/5=180 | | 4x^3=-12x^2-8x | | 4/9*3 | | 5(2-3x)=4-3(4x+7) | | N(n-7)(n+3)=0 | | 13x-15=87 | | x^5+4x^3+x=0 | | 6(p-4)=-30 | | -2+7a=47 | | 0.175(100)+55= | | 6x-21=-9 | | 10x-4(8+x)=105x | | 12−1/9d=17 | | 27=18y-9y | | 3g=4/7/8 | | 2/3x-6=16 | | 464=10x+18y | | 3(4b+2)+7=6b+1 | | 3x^2-38=10 | | x/5=-5=-15 | | 5/6=21/2g | | 5x+14y=19 | | x/6=-21 | | 3p-6=3(2p+5) |