If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 70 = 40t + -5t2 Solving 70 = 40t + -5t2 Solving for variable 't'. Reorder the terms: 70 + -40t + 5t2 = 40t + -40t + -5t2 + 5t2 Combine like terms: 40t + -40t = 0 70 + -40t + 5t2 = 0 + -5t2 + 5t2 70 + -40t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 70 + -40t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(14 + -8t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(14 + -8t + t2)' equal to zero and attempt to solve: Simplifying 14 + -8t + t2 = 0 Solving 14 + -8t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -8t + -14 + t2 = 0 + -14 Reorder the terms: 14 + -14 + -8t + t2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -8t + t2 = 0 + -14 -8t + t2 = 0 + -14 Combine like terms: 0 + -14 = -14 -8t + t2 = -14 The t term is -8t. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8t + 16 + t2 = -14 + 16 Reorder the terms: 16 + -8t + t2 = -14 + 16 Combine like terms: -14 + 16 = 2 16 + -8t + t2 = 2 Factor a perfect square on the left side: (t + -4)(t + -4) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (t + -4) equal to 1.414213562 and -1.414213562.Subproblem 1
t + -4 = 1.414213562 Simplifying t + -4 = 1.414213562 Reorder the terms: -4 + t = 1.414213562 Solving -4 + t = 1.414213562 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 1.414213562 + 4 Combine like terms: -4 + 4 = 0 0 + t = 1.414213562 + 4 t = 1.414213562 + 4 Combine like terms: 1.414213562 + 4 = 5.414213562 t = 5.414213562 Simplifying t = 5.414213562Subproblem 2
t + -4 = -1.414213562 Simplifying t + -4 = -1.414213562 Reorder the terms: -4 + t = -1.414213562 Solving -4 + t = -1.414213562 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = -1.414213562 + 4 Combine like terms: -4 + 4 = 0 0 + t = -1.414213562 + 4 t = -1.414213562 + 4 Combine like terms: -1.414213562 + 4 = 2.585786438 t = 2.585786438 Simplifying t = 2.585786438Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.414213562, 2.585786438}Solution
t = {5.414213562, 2.585786438}
| 7x^2-4=0 | | 237=1.55x^2-5.1+197 | | x+12=9*3 | | 7x=63-21 | | y+3=7y-21+-3 | | 300=1.55x^2-5.1x+197 | | 6x=25+20+9 | | 32=4+7a | | -25+15x=6+4x | | -1.333333333+.44444444444=x^2 | | 6x+8x-3x=3x+5x | | 23+x=16*4 | | 13=10p-5-6p | | 9=y-6 | | 78-28=10x | | 12x=6*8 | | 0.33(5x+3)-0.25(x+5)=4 | | -22=17(2c+8) | | x+35=20*2 | | .222222222222=8x^2 | | -4=17+6z | | 7*8=x-4 | | 0.2(x-6)=4x-3(x-1)+3.8 | | -96=-16y | | (4b+6)(4b-6)= | | -9a=0 | | -20x-3=25x+1 | | -7z+4+9z=10 | | 0.25(x+3)=6x-9(1-x)-5 | | 40+22+10=9x | | 40+22+10=9 | | -4m=-20 |