If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2t2 + -14t = 15 Reorder the terms: -14t + 2t2 = 15 Solving -14t + 2t2 = 15 Solving for variable 't'. Reorder the terms: -15 + -14t + 2t2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -14t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + -7t + t2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + -7t + 7.5 + t2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + -7t + t2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -7t + t2 = 0 + 7.5 -7t + t2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 -7t + t2 = 7.5 The t term is -7t. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7t + 12.25 + t2 = 7.5 + 12.25 Reorder the terms: 12.25 + -7t + t2 = 7.5 + 12.25 Combine like terms: 7.5 + 12.25 = 19.75 12.25 + -7t + t2 = 19.75 Factor a perfect square on the left side: (t + -3.5)(t + -3.5) = 19.75 Calculate the square root of the right side: 4.444097209 Break this problem into two subproblems by setting (t + -3.5) equal to 4.444097209 and -4.444097209.Subproblem 1
t + -3.5 = 4.444097209 Simplifying t + -3.5 = 4.444097209 Reorder the terms: -3.5 + t = 4.444097209 Solving -3.5 + t = 4.444097209 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + t = 4.444097209 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + t = 4.444097209 + 3.5 t = 4.444097209 + 3.5 Combine like terms: 4.444097209 + 3.5 = 7.944097209 t = 7.944097209 Simplifying t = 7.944097209Subproblem 2
t + -3.5 = -4.444097209 Simplifying t + -3.5 = -4.444097209 Reorder the terms: -3.5 + t = -4.444097209 Solving -3.5 + t = -4.444097209 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + t = -4.444097209 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + t = -4.444097209 + 3.5 t = -4.444097209 + 3.5 Combine like terms: -4.444097209 + 3.5 = -0.944097209 t = -0.944097209 Simplifying t = -0.944097209Solution
The solution to the problem is based on the solutions from the subproblems. t = {7.944097209, -0.944097209}
| 11w+16w-4+1=-5+1-4 | | y=-x^2+8x-9 | | 2(0)=3y+6 | | 0.75x^2-6x=0 | | 3(2p-6)-4(p-8)=5-p | | 12x^3+14x^2-40x= | | 1/3=x-5/3 | | 7+9c-13=-9 | | 3x+16=46-3x | | lg(6x-2)=2 | | h(t)=-16t^2+0t+25 | | x^2+16x=216 | | 18.7n=26.18 | | x*2-8x+8y+32=0 | | 4y^2-8y+5=0 | | 2sin^3-17sin^2x+7sinx+8=0 | | 5(3c-2)7c=40-2c | | 3f+9=42 | | 40p^3-5q^9=0 | | -16x+24x^3+36=0 | | -2x-4x-6=-36 | | -15=5x-2x+3 | | 65=x+1+7x | | 6x+1-x=26 | | (2x+y)=(3x+y) | | 7x+2x+8=26 | | (5x+12)=9 | | 8-7(x-1)=2(x+5)-4 | | 3x+6-x-2= | | f(x)=0.25x(x+1) | | 14b+6b-2b=6(2b+1) | | 5x-25=2x-8 |