If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5t2 + -45t = 25 Reorder the terms: -45t + 5t2 = 25 Solving -45t + 5t2 = 25 Solving for variable 't'. Reorder the terms: -25 + -45t + 5t2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + -45t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-5 + -9t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -9t + t2)' equal to zero and attempt to solve: Simplifying -5 + -9t + t2 = 0 Solving -5 + -9t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '5' to each side of the equation. -5 + -9t + 5 + t2 = 0 + 5 Reorder the terms: -5 + 5 + -9t + t2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9t + t2 = 0 + 5 -9t + t2 = 0 + 5 Combine like terms: 0 + 5 = 5 -9t + t2 = 5 The t term is -9t. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9t + 20.25 + t2 = 5 + 20.25 Reorder the terms: 20.25 + -9t + t2 = 5 + 20.25 Combine like terms: 5 + 20.25 = 25.25 20.25 + -9t + t2 = 25.25 Factor a perfect square on the left side: (t + -4.5)(t + -4.5) = 25.25 Calculate the square root of the right side: 5.024937811 Break this problem into two subproblems by setting (t + -4.5) equal to 5.024937811 and -5.024937811.Subproblem 1
t + -4.5 = 5.024937811 Simplifying t + -4.5 = 5.024937811 Reorder the terms: -4.5 + t = 5.024937811 Solving -4.5 + t = 5.024937811 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + t = 5.024937811 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + t = 5.024937811 + 4.5 t = 5.024937811 + 4.5 Combine like terms: 5.024937811 + 4.5 = 9.524937811 t = 9.524937811 Simplifying t = 9.524937811Subproblem 2
t + -4.5 = -5.024937811 Simplifying t + -4.5 = -5.024937811 Reorder the terms: -4.5 + t = -5.024937811 Solving -4.5 + t = -5.024937811 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + t = -5.024937811 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + t = -5.024937811 + 4.5 t = -5.024937811 + 4.5 Combine like terms: -5.024937811 + 4.5 = -0.524937811 t = -0.524937811 Simplifying t = -0.524937811Solution
The solution to the problem is based on the solutions from the subproblems. t = {9.524937811, -0.524937811}Solution
t = {9.524937811, -0.524937811}
| 2x+7=-29-4x | | (2x+4)=6x-18 | | -2q^3+100q^2=0 | | 4x^2-7x+10=2x+8 | | 7x^2-48x+80=0 | | 16t^2-17t-217=0 | | 3x+38=2x-61 | | -2q*3+100q*2=0 | | Y-7=5(x-1) | | 2a^2-9=0 | | 4y=(7x+8) | | 2(3l-1)+2l= | | x^2+6*x=4 | | 1x+4=3 | | 13x+19y=5 | | 5t^2-9t+1=2 | | 6+49x=28x+30 | | 5(2a+1)+2(a+3)= | | =3(x^2-12) | | 3(x-5)-2(3x+1)= | | 16x^2+8x-120=0 | | 4x^2-6x+8=15 | | 3x+2w-7x+1w= | | x+.8=3.6 | | 0.9t=0.4+0.3t | | 3k^2-18-21=0 | | 10y=(4x-20) | | 2x^2+34x+120=0 | | -6(5)-2(3)-(-9)= | | 7x-6x-9=6 | | 8y=(4x-20) | | -9+4-(-8+3)= |