If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 60 = 156t + -16t2 Solving 60 = 156t + -16t2 Solving for variable 't'. Reorder the terms: 60 + -156t + 16t2 = 156t + -156t + -16t2 + 16t2 Combine like terms: 156t + -156t = 0 60 + -156t + 16t2 = 0 + -16t2 + 16t2 60 + -156t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 60 + -156t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(15 + -39t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(15 + -39t + 4t2)' equal to zero and attempt to solve: Simplifying 15 + -39t + 4t2 = 0 Solving 15 + -39t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + -9.75t + t2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -9.75t + -3.75 + t2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -9.75t + t2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -9.75t + t2 = 0 + -3.75 -9.75t + t2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -9.75t + t2 = -3.75 The t term is -9.75t. Take half its coefficient (-4.875). Square it (23.765625) and add it to both sides. Add '23.765625' to each side of the equation. -9.75t + 23.765625 + t2 = -3.75 + 23.765625 Reorder the terms: 23.765625 + -9.75t + t2 = -3.75 + 23.765625 Combine like terms: -3.75 + 23.765625 = 20.015625 23.765625 + -9.75t + t2 = 20.015625 Factor a perfect square on the left side: (t + -4.875)(t + -4.875) = 20.015625 Calculate the square root of the right side: 4.473882542 Break this problem into two subproblems by setting (t + -4.875) equal to 4.473882542 and -4.473882542.Subproblem 1
t + -4.875 = 4.473882542 Simplifying t + -4.875 = 4.473882542 Reorder the terms: -4.875 + t = 4.473882542 Solving -4.875 + t = 4.473882542 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.875' to each side of the equation. -4.875 + 4.875 + t = 4.473882542 + 4.875 Combine like terms: -4.875 + 4.875 = 0.000 0.000 + t = 4.473882542 + 4.875 t = 4.473882542 + 4.875 Combine like terms: 4.473882542 + 4.875 = 9.348882542 t = 9.348882542 Simplifying t = 9.348882542Subproblem 2
t + -4.875 = -4.473882542 Simplifying t + -4.875 = -4.473882542 Reorder the terms: -4.875 + t = -4.473882542 Solving -4.875 + t = -4.473882542 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.875' to each side of the equation. -4.875 + 4.875 + t = -4.473882542 + 4.875 Combine like terms: -4.875 + 4.875 = 0.000 0.000 + t = -4.473882542 + 4.875 t = -4.473882542 + 4.875 Combine like terms: -4.473882542 + 4.875 = 0.401117458 t = 0.401117458 Simplifying t = 0.401117458Solution
The solution to the problem is based on the solutions from the subproblems. t = {9.348882542, 0.401117458}Solution
t = {9.348882542, 0.401117458}
| (x-6)2+(y-2)2=9 | | 1x+110+34+1x+36=180 | | 53x+94x+33=180 | | √x=1/10 | | 5n^2+11n+2= | | 152=-51+7x | | 22+100f=25+70f | | 12x-8+5x+52=180 | | (X+1)(x+1)(x+2i)(x-2i)=0 | | 4(c-6)=2(c-10) | | 30x=-6x-7(-5x-19) | | 320=4a | | 0=x^5+3x^4-18x^3-243 | | 11x-3=4x+4 | | X^2-7x+14x-6=0 | | -6x=3+8x | | 62-12x=-40-14x | | 10-5x-x=2x+2 | | -3(4-m)=5-(m+1) | | 8x+20y=16 | | 107+19x=25x-193 | | 2*x^2+8*x-714=0 | | (5+0.50x)(300-20x)=1562.50 | | 5x-5x+7=0 | | -26=6x-2(-x+33) | | 2^-4x^2/z^0 | | n+74=105 | | 2y=-1.5x-.75 | | H(t)=-8t^2+32t | | 2(x+6)-3=.5x+9 | | n+-6=17 | | -6x=3+8y |