If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (7x + -3)(12x + -7) = 180 Reorder the terms: (-3 + 7x)(12x + -7) = 180 Reorder the terms: (-3 + 7x)(-7 + 12x) = 180 Multiply (-3 + 7x) * (-7 + 12x) (-3(-7 + 12x) + 7x * (-7 + 12x)) = 180 ((-7 * -3 + 12x * -3) + 7x * (-7 + 12x)) = 180 ((21 + -36x) + 7x * (-7 + 12x)) = 180 (21 + -36x + (-7 * 7x + 12x * 7x)) = 180 (21 + -36x + (-49x + 84x2)) = 180 Combine like terms: -36x + -49x = -85x (21 + -85x + 84x2) = 180 Solving 21 + -85x + 84x2 = 180 Solving for variable 'x'. Reorder the terms: 21 + -180 + -85x + 84x2 = 180 + -180 Combine like terms: 21 + -180 = -159 -159 + -85x + 84x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -159 + -85x + 84x2 = 0 Begin completing the square. Divide all terms by 84 the coefficient of the squared term: Divide each side by '84'. -1.892857143 + -1.011904762x + x2 = 0 Move the constant term to the right: Add '1.892857143' to each side of the equation. -1.892857143 + -1.011904762x + 1.892857143 + x2 = 0 + 1.892857143 Reorder the terms: -1.892857143 + 1.892857143 + -1.011904762x + x2 = 0 + 1.892857143 Combine like terms: -1.892857143 + 1.892857143 = 0.000000000 0.000000000 + -1.011904762x + x2 = 0 + 1.892857143 -1.011904762x + x2 = 0 + 1.892857143 Combine like terms: 0 + 1.892857143 = 1.892857143 -1.011904762x + x2 = 1.892857143 The x term is -1.011904762x. Take half its coefficient (-0.505952381). Square it (0.2559878118) and add it to both sides. Add '0.2559878118' to each side of the equation. -1.011904762x + 0.2559878118 + x2 = 1.892857143 + 0.2559878118 Reorder the terms: 0.2559878118 + -1.011904762x + x2 = 1.892857143 + 0.2559878118 Combine like terms: 1.892857143 + 0.2559878118 = 2.1488449548 0.2559878118 + -1.011904762x + x2 = 2.1488449548 Factor a perfect square on the left side: (x + -0.505952381)(x + -0.505952381) = 2.1488449548 Calculate the square root of the right side: 1.46589391 Break this problem into two subproblems by setting (x + -0.505952381) equal to 1.46589391 and -1.46589391.Subproblem 1
x + -0.505952381 = 1.46589391 Simplifying x + -0.505952381 = 1.46589391 Reorder the terms: -0.505952381 + x = 1.46589391 Solving -0.505952381 + x = 1.46589391 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.505952381' to each side of the equation. -0.505952381 + 0.505952381 + x = 1.46589391 + 0.505952381 Combine like terms: -0.505952381 + 0.505952381 = 0.000000000 0.000000000 + x = 1.46589391 + 0.505952381 x = 1.46589391 + 0.505952381 Combine like terms: 1.46589391 + 0.505952381 = 1.971846291 x = 1.971846291 Simplifying x = 1.971846291Subproblem 2
x + -0.505952381 = -1.46589391 Simplifying x + -0.505952381 = -1.46589391 Reorder the terms: -0.505952381 + x = -1.46589391 Solving -0.505952381 + x = -1.46589391 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.505952381' to each side of the equation. -0.505952381 + 0.505952381 + x = -1.46589391 + 0.505952381 Combine like terms: -0.505952381 + 0.505952381 = 0.000000000 0.000000000 + x = -1.46589391 + 0.505952381 x = -1.46589391 + 0.505952381 Combine like terms: -1.46589391 + 0.505952381 = -0.959941529 x = -0.959941529 Simplifying x = -0.959941529Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.971846291, -0.959941529}
| 23=12-(6+c) | | 3(y-6)=2y | | (6-t)(6+t)=0 | | M+10= | | 3(3x-2)=2(3x+3) | | 2b-5=8 | | y+x=v | | -13+-15+2y=-3 | | x-6=8-9-x | | x-4=3x-6 | | 4h+0.33=0.75 | | 5X+2y-13=x | | -24=10t+3 | | -9-(k+2)=5 | | 1-x^3=0 | | 18y-5=3y-50 | | c=y+u | | -3+13+4x=4+x+9 | | 4c-18=6 | | 3(z+5)-7z= | | 4x+29=8x+41 | | n(8)-3=-11 | | 28000+3000s=36000+2000s | | y/6-2/3=-3 | | 4(5x+3)=6(4x-8) | | 3(3q-1)=-(9-a) | | x^2-30x+255=400 | | y-b=x | | -3.5+[-(-2.1)]= | | 5+g=2h-6 | | y-b=-2 | | 4x+18=6x-30 |