If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -2t2 + 30t + 6.5 = 100 Reorder the terms: 6.5 + 30t + -2t2 = 100 Solving 6.5 + 30t + -2t2 = 100 Solving for variable 't'. Reorder the terms: 6.5 + -100 + 30t + -2t2 = 100 + -100 Combine like terms: 6.5 + -100 = -93.5 -93.5 + 30t + -2t2 = 100 + -100 Combine like terms: 100 + -100 = 0 -93.5 + 30t + -2t2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 46.75 + -15t + t2 = 0 Move the constant term to the right: Add '-46.75' to each side of the equation. 46.75 + -15t + -46.75 + t2 = 0 + -46.75 Reorder the terms: 46.75 + -46.75 + -15t + t2 = 0 + -46.75 Combine like terms: 46.75 + -46.75 = 0.00 0.00 + -15t + t2 = 0 + -46.75 -15t + t2 = 0 + -46.75 Combine like terms: 0 + -46.75 = -46.75 -15t + t2 = -46.75 The t term is -15t. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15t + 56.25 + t2 = -46.75 + 56.25 Reorder the terms: 56.25 + -15t + t2 = -46.75 + 56.25 Combine like terms: -46.75 + 56.25 = 9.5 56.25 + -15t + t2 = 9.5 Factor a perfect square on the left side: (t + -7.5)(t + -7.5) = 9.5 Calculate the square root of the right side: 3.082207001 Break this problem into two subproblems by setting (t + -7.5) equal to 3.082207001 and -3.082207001.Subproblem 1
t + -7.5 = 3.082207001 Simplifying t + -7.5 = 3.082207001 Reorder the terms: -7.5 + t = 3.082207001 Solving -7.5 + t = 3.082207001 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + t = 3.082207001 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + t = 3.082207001 + 7.5 t = 3.082207001 + 7.5 Combine like terms: 3.082207001 + 7.5 = 10.582207001 t = 10.582207001 Simplifying t = 10.582207001Subproblem 2
t + -7.5 = -3.082207001 Simplifying t + -7.5 = -3.082207001 Reorder the terms: -7.5 + t = -3.082207001 Solving -7.5 + t = -3.082207001 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + t = -3.082207001 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + t = -3.082207001 + 7.5 t = -3.082207001 + 7.5 Combine like terms: -3.082207001 + 7.5 = 4.417792999 t = 4.417792999 Simplifying t = 4.417792999Solution
The solution to the problem is based on the solutions from the subproblems. t = {10.582207001, 4.417792999}
| 10A+5B+.5C=100 | | 3.14r^2=50.2 | | -12(-5x+12)=132 | | 87=4v+11 | | 14x+312=2(12x+34) | | 2e^3=0 | | 11(-4m+10)=198 | | 2u-15=19 | | 425=20x-(10x+250) | | -6(-2y-12)=132 | | u/3-11=3 | | 7(3x+30)=255 | | u/13-11=3 | | 10(s-10)=157 | | -3(w+6)=18 | | 7x^2-18=-15x | | 4*89= | | 7x-33+5x-27=9x-8 | | -5(x-2y)-0=30 | | q=8q-14 | | 6x+5(-6x-2)=134 | | 4x+2(4x-12)=-84 | | -4x-3(5x+15)=107 | | x^2+50x-5400=0 | | y=9(m+10) | | x^2+50x=5400 | | 6x+5(-3x-13)=-11 | | y=-9(7x-10) | | -5(x-2y)-20=30 | | 2x-2=o | | 4x+5(x-16)=-179 | | y=-8n-6n |