If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -5t2 + 40t + -15 Reorder the terms: 0 = -15 + 40t + -5t2 Solving 0 = -15 + 40t + -5t2 Solving for variable 't'. Combine like terms: 0 + 15 = 15 15 + -40t + 5t2 = -15 + 40t + -5t2 + 15 + -40t + 5t2 Reorder the terms: 15 + -40t + 5t2 = -15 + 15 + 40t + -40t + -5t2 + 5t2 Combine like terms: -15 + 15 = 0 15 + -40t + 5t2 = 0 + 40t + -40t + -5t2 + 5t2 15 + -40t + 5t2 = 40t + -40t + -5t2 + 5t2 Combine like terms: 40t + -40t = 0 15 + -40t + 5t2 = 0 + -5t2 + 5t2 15 + -40t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 15 + -40t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(3 + -8t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3 + -8t + t2)' equal to zero and attempt to solve: Simplifying 3 + -8t + t2 = 0 Solving 3 + -8t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -8t + -3 + t2 = 0 + -3 Reorder the terms: 3 + -3 + -8t + t2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8t + t2 = 0 + -3 -8t + t2 = 0 + -3 Combine like terms: 0 + -3 = -3 -8t + t2 = -3 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = -3 + 16 Reorder the terms: 16 + -8t + t2 = -3 + 16 Combine like terms: -3 + 16 = 13 16 + -8t + t2 = 13 Factor a perfect square on the left side: (t + -4)(t + -4) = 13 Calculate the square root of the right side: 3.605551275 Break this problem into two subproblems by setting (t + -4) equal to 3.605551275 and -3.605551275.Subproblem 1
t + -4 = 3.605551275 Simplifying t + -4 = 3.605551275 Reorder the terms: -4 + t = 3.605551275 Solving -4 + t = 3.605551275 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 3.605551275 + 4 Combine like terms: -4 + 4 = 0 0 + t = 3.605551275 + 4 t = 3.605551275 + 4 Combine like terms: 3.605551275 + 4 = 7.605551275 t = 7.605551275 Simplifying t = 7.605551275Subproblem 2
t + -4 = -3.605551275 Simplifying t + -4 = -3.605551275 Reorder the terms: -4 + t = -3.605551275 Solving -4 + t = -3.605551275 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = -3.605551275 + 4 Combine like terms: -4 + 4 = 0 0 + t = -3.605551275 + 4 t = -3.605551275 + 4 Combine like terms: -3.605551275 + 4 = 0.394448725 t = 0.394448725 Simplifying t = 0.394448725Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.605551275, 0.394448725}Solution
t = {7.605551275, 0.394448725}
| 11z+12=3z+180 | | 4(-2d)-12d(d+3)=8(-2d+4) | | -13+3z=-52+18 | | A=4+20*(n-1)+8 | | 2/x-4/y=3 | | X^2+8x-233=0 | | -5x+2x=-2-2(1-x) | | 7=c+5 | | z^3=1/8 | | 3.5x=19-0.5x | | f(x)=2x^4+x^3-x^2+4 | | a^2=1/144 | | 7r=1 | | X(4x-6)+1-4x=-5 | | 7x+(x+3)+(x-2)=4 | | y^3/5=25 | | 3m+5.25=33.50 | | 4x+14=26-2x | | 13x-2=82y | | 4+77z=33z+28 | | 13x-2=82 | | Log(2)(7x+9)=1 | | x*x=16+(x-4)(x+4) | | 9+3x-1=10 | | 8x+5x=x | | 2(4x+72y)=12-4Y | | ln(x)+x^2=1 | | 2.5x+0.75=0 | | 4z+10=-86-8z | | x^2+2.5x+0.75=0 | | 8X-11=X+49 | | 0^1/5 |