If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4t2 + -2t + -6) + (3t2 + -1t + 5) = 0 Reorder the terms: (-6 + -2t + 4t2) + (3t2 + -1t + 5) = 0 Remove parenthesis around (-6 + -2t + 4t2) -6 + -2t + 4t2 + (3t2 + -1t + 5) = 0 Reorder the terms: -6 + -2t + 4t2 + (5 + -1t + 3t2) = 0 Remove parenthesis around (5 + -1t + 3t2) -6 + -2t + 4t2 + 5 + -1t + 3t2 = 0 Reorder the terms: -6 + 5 + -2t + -1t + 4t2 + 3t2 = 0 Combine like terms: -6 + 5 = -1 -1 + -2t + -1t + 4t2 + 3t2 = 0 Combine like terms: -2t + -1t = -3t -1 + -3t + 4t2 + 3t2 = 0 Combine like terms: 4t2 + 3t2 = 7t2 -1 + -3t + 7t2 = 0 Solving -1 + -3t + 7t2 = 0 Solving for variable 't'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -0.1428571429 + -0.4285714286t + t2 = 0 Move the constant term to the right: Add '0.1428571429' to each side of the equation. -0.1428571429 + -0.4285714286t + 0.1428571429 + t2 = 0 + 0.1428571429 Reorder the terms: -0.1428571429 + 0.1428571429 + -0.4285714286t + t2 = 0 + 0.1428571429 Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000 0.0000000000 + -0.4285714286t + t2 = 0 + 0.1428571429 -0.4285714286t + t2 = 0 + 0.1428571429 Combine like terms: 0 + 0.1428571429 = 0.1428571429 -0.4285714286t + t2 = 0.1428571429 The t term is -0.4285714286t. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286t + 0.04591836735 + t2 = 0.1428571429 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286t + t2 = 0.1428571429 + 0.04591836735 Combine like terms: 0.1428571429 + 0.04591836735 = 0.18877551025 0.04591836735 + -0.4285714286t + t2 = 0.18877551025 Factor a perfect square on the left side: (t + -0.2142857143)(t + -0.2142857143) = 0.18877551025 Calculate the square root of the right side: 0.434483038 Break this problem into two subproblems by setting (t + -0.2142857143) equal to 0.434483038 and -0.434483038.Subproblem 1
t + -0.2142857143 = 0.434483038 Simplifying t + -0.2142857143 = 0.434483038 Reorder the terms: -0.2142857143 + t = 0.434483038 Solving -0.2142857143 + t = 0.434483038 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.2142857143' to each side of the equation. -0.2142857143 + 0.2142857143 + t = 0.434483038 + 0.2142857143 Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000 0.0000000000 + t = 0.434483038 + 0.2142857143 t = 0.434483038 + 0.2142857143 Combine like terms: 0.434483038 + 0.2142857143 = 0.6487687523 t = 0.6487687523 Simplifying t = 0.6487687523Subproblem 2
t + -0.2142857143 = -0.434483038 Simplifying t + -0.2142857143 = -0.434483038 Reorder the terms: -0.2142857143 + t = -0.434483038 Solving -0.2142857143 + t = -0.434483038 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.2142857143' to each side of the equation. -0.2142857143 + 0.2142857143 + t = -0.434483038 + 0.2142857143 Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000 0.0000000000 + t = -0.434483038 + 0.2142857143 t = -0.434483038 + 0.2142857143 Combine like terms: -0.434483038 + 0.2142857143 = -0.2201973237 t = -0.2201973237 Simplifying t = -0.2201973237Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.6487687523, -0.2201973237}
| 22=x^2+6x | | 6x+9-7=0 | | 83=5x+5x-7 | | n-21= | | f(x+9)=5(x+9)+9 | | -n-13= | | -3=6x+x^2 | | 2(x+5)=-44 | | -6n+3= | | 0=56t-16t^2+40 | | 2sin^2x+4cos^2x+3=0 | | 6(-9)=9 | | 2(3n-1)+2n=31 | | 23-3x=3+5x | | f(-9)=-45+9 | | -3=x^2+6x | | (3v^2-5v-7)(6v+2)=0 | | 30+(-18)= | | a/5=4/1=2 | | 30+(-18x)= | | -3x(x-10)= | | c/4-2c/3=10 | | -3x(p-10)= | | 5x-9+4x=45 | | 0=56x-16x^2 | | 4(3-b)+2=30 | | 9x-2-7x-4=5x | | 9x-7x-4=5x | | X^2*9=16 | | E^2-3x=1572 | | 2+2x+6x=42 | | 5*16=9x-11-2x |