0=4t^2-7t-15

Simple and best practice solution for 0=4t^2-7t-15 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 0=4t^2-7t-15 equation:


Simplifying
0 = 4t2 + -7t + -15

Reorder the terms:
0 = -15 + -7t + 4t2

Solving
0 = -15 + -7t + 4t2

Solving for variable 't'.

Combine like terms: 0 + 15 = 15
15 + 7t + -4t2 = -15 + -7t + 4t2 + 15 + 7t + -4t2

Reorder the terms:
15 + 7t + -4t2 = -15 + 15 + -7t + 7t + 4t2 + -4t2

Combine like terms: -15 + 15 = 0
15 + 7t + -4t2 = 0 + -7t + 7t + 4t2 + -4t2
15 + 7t + -4t2 = -7t + 7t + 4t2 + -4t2

Combine like terms: -7t + 7t = 0
15 + 7t + -4t2 = 0 + 4t2 + -4t2
15 + 7t + -4t2 = 4t2 + -4t2

Combine like terms: 4t2 + -4t2 = 0
15 + 7t + -4t2 = 0

Factor a trinomial.
(3 + -1t)(5 + 4t) = 0

Subproblem 1

Set the factor '(3 + -1t)' equal to zero and attempt to solve: Simplifying 3 + -1t = 0 Solving 3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1t = 0 + -3 -1t = 0 + -3 Combine like terms: 0 + -3 = -3 -1t = -3 Divide each side by '-1'. t = 3 Simplifying t = 3

Subproblem 2

Set the factor '(5 + 4t)' equal to zero and attempt to solve: Simplifying 5 + 4t = 0 Solving 5 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4t = 0 + -5 4t = 0 + -5 Combine like terms: 0 + -5 = -5 4t = -5 Divide each side by '4'. t = -1.25 Simplifying t = -1.25

Solution

t = {3, -1.25}

See similar equations:

| 6(7-2x)=42 | | -2(-3x+7)=-2 | | (13x^3+10x+23)/(9x+7) | | -5z+4=2z-10 | | a^2=14a | | u^2+2u+2=0 | | 3x^2+10=8 | | 8=2x+1 | | 8=(3x/2)+2 | | x*20*340/34*100=9 | | -6(7x+8)=-90 | | 8=(2x/3)+2 | | x+x+3+x+6=36 | | 10y+4y= | | -10+3x-4x=-8 | | 34(r+4/9)=2/3/4 | | 5x-4=7x+22 | | 6/x=0.12 | | .666x=60 | | (144/55)*(11/12) | | (144/55)+(11/12) | | x^2+4x-4=10 | | .5x=30 | | 24x=216 | | 3x-8=14,5 | | 3.2r-1.07=2.77 | | 1.1x-1.8=73 | | 3.3(1.2r+0.5)=9.87 | | x=-6graph | | ((x-4)(x+10))/2=4(x-4)^2 | | 5+7=37 | | x+x+x=84 |

Equations solver categories