If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -5t2 + 30t + 2 = 12 Reorder the terms: 2 + 30t + -5t2 = 12 Solving 2 + 30t + -5t2 = 12 Solving for variable 't'. Reorder the terms: 2 + -12 + 30t + -5t2 = 12 + -12 Combine like terms: 2 + -12 = -10 -10 + 30t + -5t2 = 12 + -12 Combine like terms: 12 + -12 = 0 -10 + 30t + -5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-2 + 6t + -1t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-2 + 6t + -1t2)' equal to zero and attempt to solve: Simplifying -2 + 6t + -1t2 = 0 Solving -2 + 6t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2 + -6t + t2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -6t + -2 + t2 = 0 + -2 Reorder the terms: 2 + -2 + -6t + t2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6t + t2 = 0 + -2 -6t + t2 = 0 + -2 Combine like terms: 0 + -2 = -2 -6t + t2 = -2 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 = -2 + 9 Reorder the terms: 9 + -6t + t2 = -2 + 9 Combine like terms: -2 + 9 = 7 9 + -6t + t2 = 7 Factor a perfect square on the left side: (t + -3)(t + -3) = 7 Calculate the square root of the right side: 2.645751311 Break this problem into two subproblems by setting (t + -3) equal to 2.645751311 and -2.645751311.Subproblem 1
t + -3 = 2.645751311 Simplifying t + -3 = 2.645751311 Reorder the terms: -3 + t = 2.645751311 Solving -3 + t = 2.645751311 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 = 2.645751311 + 3 Combine like terms: -3 + 3 = 0 0 + t = 2.645751311 + 3 t = 2.645751311 + 3 Combine like terms: 2.645751311 + 3 = 5.645751311 t = 5.645751311 Simplifying t = 5.645751311Subproblem 2
t + -3 = -2.645751311 Simplifying t + -3 = -2.645751311 Reorder the terms: -3 + t = -2.645751311 Solving -3 + t = -2.645751311 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 = -2.645751311 + 3 Combine like terms: -3 + 3 = 0 0 + t = -2.645751311 + 3 t = -2.645751311 + 3 Combine like terms: -2.645751311 + 3 = 0.354248689 t = 0.354248689 Simplifying t = 0.354248689Solution
The solution to the problem is based on the solutions from the subproblems. t = {5.645751311, 0.354248689}Solution
t = {5.645751311, 0.354248689}
| 1/3x-12=5 | | 35x+25y=10250 | | 6/q= | | 4b+7=11 | | 19/4-7/3 | | 2x-5(4x+20)=32 | | 8y=16/7 | | Y=22x+1160 | | 8x-6=13x-21 | | 1/X-1/9=4/9-2/3X | | 2u/7=8 | | (50+7x)+3x=70 | | 6xy-2x+3cy-c= | | 8x-6=x+4 | | U^4w^4-u^4=0 | | 12x+(9x-3)-(10x-2)=12 | | 11/4-21/16 | | Y=11-6x/4 | | 5h+6(8h-1)= | | 4/9=2u | | 25d+50=175 | | 15x+5=14x+11 | | a=1/2bh;b=10,h=8 | | x+(x+1)=122-3(x+2) | | n/30-2=3 | | 7=12-5x+4y | | 7f-3=39 | | x-3/5=-1 | | 46-2=8 | | 3x^4-14x^2-24=0 | | 50e-1=799 | | y-(-5)=9x+18 |