If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -15 = -5t2 + 30t Reorder the terms: -15 = 30t + -5t2 Solving -15 = 30t + -5t2 Solving for variable 't'. Reorder the terms: -15 + -30t + 5t2 = 30t + -30t + -5t2 + 5t2 Combine like terms: 30t + -30t = 0 -15 + -30t + 5t2 = 0 + -5t2 + 5t2 -15 + -30t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -15 + -30t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + -6t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -6t + t2)' equal to zero and attempt to solve: Simplifying -3 + -6t + t2 = 0 Solving -3 + -6t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '3' to each side of the equation. -3 + -6t + 3 + t2 = 0 + 3 Reorder the terms: -3 + 3 + -6t + t2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6t + t2 = 0 + 3 -6t + t2 = 0 + 3 Combine like terms: 0 + 3 = 3 -6t + t2 = 3 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = 3 + 9 Reorder the terms: 9 + -6t + t2 = 3 + 9 Combine like terms: 3 + 9 = 12 9 + -6t + t2 = 12 Factor a perfect square on the left side: (t + -3)(t + -3) = 12 Calculate the square root of the right side: 3.464101615 Break this problem into two subproblems by setting (t + -3) equal to 3.464101615 and -3.464101615.Subproblem 1
t + -3 = 3.464101615 Simplifying t + -3 = 3.464101615 Reorder the terms: -3 + t = 3.464101615 Solving -3 + t = 3.464101615 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 3.464101615 + 3 Combine like terms: -3 + 3 = 0 0 + t = 3.464101615 + 3 t = 3.464101615 + 3 Combine like terms: 3.464101615 + 3 = 6.464101615 t = 6.464101615 Simplifying t = 6.464101615Subproblem 2
t + -3 = -3.464101615 Simplifying t + -3 = -3.464101615 Reorder the terms: -3 + t = -3.464101615 Solving -3 + t = -3.464101615 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = -3.464101615 + 3 Combine like terms: -3 + 3 = 0 0 + t = -3.464101615 + 3 t = -3.464101615 + 3 Combine like terms: -3.464101615 + 3 = -0.464101615 t = -0.464101615 Simplifying t = -0.464101615Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.464101615, -0.464101615}Solution
t = {6.464101615, -0.464101615}
| 9-3x+5x=-11 | | 2-(x+3)=6 | | 5x+4=37 | | X^2+6x-34=0 | | y+x=y-x | | 2(x-5)+2x=x+3x-2x | | 180+(9x+4)=y | | 20-0.75x+0.55x=10 | | 55+8(25)=x | | 55+8=25 | | -1x^2+4=2x^2-5 | | -20=-10(x+12) | | .40=.5-12 | | 9x-8=9x+6 | | 5x+3(x-4)=8x-12 | | (7)(-6)= | | 12+8x-4=5+2(3x-1) | | 4x+8x+150=164 | | 16(x-2)2-25=0 | | 3(2x+3)=11x+8-5x+1 | | 1x^2+17x+16=0 | | -3-3(8c+7)= | | -8.3x-4.5y+3.4x+3.7y= | | 48=3(2)x | | v-2.9=10.44(46.16568) | | -8=6(x-8) | | 4x-4=-2x+5 | | 4w^2-15w-9=0 | | X^2-1.4x+0.49=0 | | -0.7r-2.1+5.8r-12.8= | | b=2c^2+3c | | x+y+2x=180 |