4(t^2+3t-4)+2(t-1)(t+5)=0

Simple and best practice solution for 4(t^2+3t-4)+2(t-1)(t+5)=0 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 4(t^2+3t-4)+2(t-1)(t+5)=0 equation:


Simplifying
4(t2 + 3t + -4) + 2(t + -1)(t + 5) = 0

Reorder the terms:
4(-4 + 3t + t2) + 2(t + -1)(t + 5) = 0
(-4 * 4 + 3t * 4 + t2 * 4) + 2(t + -1)(t + 5) = 0
(-16 + 12t + 4t2) + 2(t + -1)(t + 5) = 0

Reorder the terms:
-16 + 12t + 4t2 + 2(-1 + t)(t + 5) = 0

Reorder the terms:
-16 + 12t + 4t2 + 2(-1 + t)(5 + t) = 0

Multiply (-1 + t) * (5 + t)
-16 + 12t + 4t2 + 2(-1(5 + t) + t(5 + t)) = 0
-16 + 12t + 4t2 + 2((5 * -1 + t * -1) + t(5 + t)) = 0
-16 + 12t + 4t2 + 2((-5 + -1t) + t(5 + t)) = 0
-16 + 12t + 4t2 + 2(-5 + -1t + (5 * t + t * t)) = 0
-16 + 12t + 4t2 + 2(-5 + -1t + (5t + t2)) = 0

Combine like terms: -1t + 5t = 4t
-16 + 12t + 4t2 + 2(-5 + 4t + t2) = 0
-16 + 12t + 4t2 + (-5 * 2 + 4t * 2 + t2 * 2) = 0
-16 + 12t + 4t2 + (-10 + 8t + 2t2) = 0

Reorder the terms:
-16 + -10 + 12t + 8t + 4t2 + 2t2 = 0

Combine like terms: -16 + -10 = -26
-26 + 12t + 8t + 4t2 + 2t2 = 0

Combine like terms: 12t + 8t = 20t
-26 + 20t + 4t2 + 2t2 = 0

Combine like terms: 4t2 + 2t2 = 6t2
-26 + 20t + 6t2 = 0

Solving
-26 + 20t + 6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 10t + 3t2) = 0

Factor a trinomial.
2((-13 + -3t)(1 + -1t)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-13 + -3t)' equal to zero and attempt to solve: Simplifying -13 + -3t = 0 Solving -13 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3t = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3t = 0 + 13 -3t = 0 + 13 Combine like terms: 0 + 13 = 13 -3t = 13 Divide each side by '-3'. t = -4.333333333 Simplifying t = -4.333333333

Subproblem 2

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

Solution

t = {-4.333333333, 1}

See similar equations:

| 2(1)+4= | | 3x+2y=90 | | -5x-5+3x+(-1)-x= | | -7b=-57.4 | | 18x^4+27x^3= | | x+5=29-3x | | -0+1= | | (-4-2w)5=-10 | | 2b+3=2b-1 | | x+(x(.05))=241.5 | | 64x^3+-56x^2+88x^12= | | 8k-k+7-(-5k)-8= | | 2b+3=2b | | 24+6n=2(2n+7) | | -(a-5)=11 | | 2x+40=7x-20 | | 2x^2-7=-207 | | 4x^7-12x^5y^6+8x^8y^5=0 | | (7b-7)-3(2b+2)=-4 | | 9+7x=6x-2 | | 5x-3y=4x+1 | | 9+(2k)+(-4)-6k+1= | | k=20+5x | | 3(x-7)+2x=4 | | 4x^2+7=263 | | k=20+x | | 2(1+8x)=-62 | | 2x^2+5-3=(2x-1)(x+3) | | 12a+3y+6y-3x= | | 4(a+3)=3a | | 4ln(6x)=8 | | -134=-3x-2 |

Equations solver categories