If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3t2 + 14t + -12 = 0 Reorder the terms: -12 + 14t + 3t2 = 0 Solving -12 + 14t + 3t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -4 + 4.666666667t + t2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + 4.666666667t + 4 + t2 = 0 + 4 Reorder the terms: -4 + 4 + 4.666666667t + t2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4.666666667t + t2 = 0 + 4 4.666666667t + t2 = 0 + 4 Combine like terms: 0 + 4 = 4 4.666666667t + t2 = 4 The t term is 4.666666667t. Take half its coefficient (2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. 4.666666667t + 5.444444448 + t2 = 4 + 5.444444448 Reorder the terms: 5.444444448 + 4.666666667t + t2 = 4 + 5.444444448 Combine like terms: 4 + 5.444444448 = 9.444444448 5.444444448 + 4.666666667t + t2 = 9.444444448 Factor a perfect square on the left side: (t + 2.333333334)(t + 2.333333334) = 9.444444448 Calculate the square root of the right side: 3.073181486 Break this problem into two subproblems by setting (t + 2.333333334) equal to 3.073181486 and -3.073181486.Subproblem 1
t + 2.333333334 = 3.073181486 Simplifying t + 2.333333334 = 3.073181486 Reorder the terms: 2.333333334 + t = 3.073181486 Solving 2.333333334 + t = 3.073181486 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.333333334' to each side of the equation. 2.333333334 + -2.333333334 + t = 3.073181486 + -2.333333334 Combine like terms: 2.333333334 + -2.333333334 = 0.000000000 0.000000000 + t = 3.073181486 + -2.333333334 t = 3.073181486 + -2.333333334 Combine like terms: 3.073181486 + -2.333333334 = 0.739848152 t = 0.739848152 Simplifying t = 0.739848152Subproblem 2
t + 2.333333334 = -3.073181486 Simplifying t + 2.333333334 = -3.073181486 Reorder the terms: 2.333333334 + t = -3.073181486 Solving 2.333333334 + t = -3.073181486 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.333333334' to each side of the equation. 2.333333334 + -2.333333334 + t = -3.073181486 + -2.333333334 Combine like terms: 2.333333334 + -2.333333334 = 0.000000000 0.000000000 + t = -3.073181486 + -2.333333334 t = -3.073181486 + -2.333333334 Combine like terms: -3.073181486 + -2.333333334 = -5.40651482 t = -5.40651482 Simplifying t = -5.40651482Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.739848152, -5.40651482}
| -11=11(1h-4) | | 5x-3(x-2)=-3+4x+5 | | 8d+12=4(3+2d) | | -2w-10=-w | | 4c-5=11x+16 | | 7x+3+5x=11x+4 | | 4-5y=8-y | | -1n=8 | | 7b=8b-7 | | a(3x-8)=b-18 | | 8-6v+1=19+4v | | 2x-4/5=0 | | -3(3x+15)(-10+x)=35 | | 3(x+2)+1=8 | | 19-11a+a+16= | | 7c+5=4c+5 | | 9x-7=6x+23 | | y=(-10+7)+12 | | Y=5x+30 | | 7r-11r=8 | | -9x-10=4x+14 | | 15x+21= | | x^2-27x+140=0 | | -5u-10=-6u | | 2(4h-3)=7h+9 | | 4m-13m=63 | | 4x+2x=56 | | 4x^2+22x+28=238 | | 0=0.98x+.02x-x | | =15-6(2x-5) | | -3+15=4b-5-3b | | 10[5-(4-x)]+5x=3(5x+4)-2 |