If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 45 = 5t2 + 5t Reorder the terms: 45 = 5t + 5t2 Solving 45 = 5t + 5t2 Solving for variable 't'. Reorder the terms: 45 + -5t + -5t2 = 5t + -5t + 5t2 + -5t2 Combine like terms: 5t + -5t = 0 45 + -5t + -5t2 = 0 + 5t2 + -5t2 45 + -5t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 45 + -5t + -5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(9 + -1t + -1t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(9 + -1t + -1t2)' equal to zero and attempt to solve: Simplifying 9 + -1t + -1t2 = 0 Solving 9 + -1t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -9 + t + t2 = 0 Move the constant term to the right: Add '9' to each side of the equation. -9 + t + 9 + t2 = 0 + 9 Reorder the terms: -9 + 9 + t + t2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + t + t2 = 0 + 9 t + t2 = 0 + 9 Combine like terms: 0 + 9 = 9 t + t2 = 9 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + t2 = 9 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + t2 = 9 + 0.25 Combine like terms: 9 + 0.25 = 9.25 1.25 + t2 = 9.25 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 9.25 Calculate the square root of the right side: 3.041381265 Break this problem into two subproblems by setting (t + 0.5) equal to 3.041381265 and -3.041381265.Subproblem 1
t + 0.5 = 3.041381265 Simplifying t + 0.5 = 3.041381265 Reorder the terms: 0.5 + t = 3.041381265 Solving 0.5 + t = 3.041381265 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 3.041381265 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 3.041381265 + -0.5 t = 3.041381265 + -0.5 Combine like terms: 3.041381265 + -0.5 = 2.541381265 t = 2.541381265 Simplifying t = 2.541381265Subproblem 2
t + 0.5 = -3.041381265 Simplifying t + 0.5 = -3.041381265 Reorder the terms: 0.5 + t = -3.041381265 Solving 0.5 + t = -3.041381265 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -3.041381265 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -3.041381265 + -0.5 t = -3.041381265 + -0.5 Combine like terms: -3.041381265 + -0.5 = -3.541381265 t = -3.541381265 Simplifying t = -3.541381265Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.541381265, -3.541381265}Solution
t = {2.541381265, -3.541381265}
| 3x+5y=124 | | 6x+8=2x+80 | | y+7=2(x+5) | | -0.75(16-4x)=.11(18-27x) | | m-17=21 | | 4(v-2)+6v-8=21 | | 11x-7=7x-23 | | 4+0.28= | | y-11=3x-2 | | 7(z+3)=4(z+1)-10 | | (3x-2)2=(x-5)(9x+4) | | 2(-3x+3)=66 | | 43u=-734 | | c-2/3=1/2 | | .3333x^2-3x-4=-4 | | 0.6x+17.7=x-2.78 | | 5a=4.75 | | y=7/2(2)-2 | | 2(2(-x)-3)+x=4+-1x+3x | | 5(x-1)-3x=5x-20 | | 0.75g-0.5=0.125 | | -350=25s | | 2x-4(3x-2)=4x+36 | | 3(m-4)+5m-4=8 | | 4x^2+x=9+x | | -8x+7y-x-6y+4y= | | (-5)x-20=(-28)-7x | | x^3+7x^2+16x+12=0 | | 28=-12w | | -4x+9+5x=17-33 | | 8x=y+10 | | 7x+3y=40 |