If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4x + 7)(4x + -3) = 180 Reorder the terms: (7 + 4x)(4x + -3) = 180 Reorder the terms: (7 + 4x)(-3 + 4x) = 180 Multiply (7 + 4x) * (-3 + 4x) (7(-3 + 4x) + 4x * (-3 + 4x)) = 180 ((-3 * 7 + 4x * 7) + 4x * (-3 + 4x)) = 180 ((-21 + 28x) + 4x * (-3 + 4x)) = 180 (-21 + 28x + (-3 * 4x + 4x * 4x)) = 180 (-21 + 28x + (-12x + 16x2)) = 180 Combine like terms: 28x + -12x = 16x (-21 + 16x + 16x2) = 180 Solving -21 + 16x + 16x2 = 180 Solving for variable 'x'. Reorder the terms: -21 + -180 + 16x + 16x2 = 180 + -180 Combine like terms: -21 + -180 = -201 -201 + 16x + 16x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -201 + 16x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -12.5625 + x + x2 = 0 Move the constant term to the right: Add '12.5625' to each side of the equation. -12.5625 + x + 12.5625 + x2 = 0 + 12.5625 Reorder the terms: -12.5625 + 12.5625 + x + x2 = 0 + 12.5625 Combine like terms: -12.5625 + 12.5625 = 0.0000 0.0000 + x + x2 = 0 + 12.5625 x + x2 = 0 + 12.5625 Combine like terms: 0 + 12.5625 = 12.5625 x + x2 = 12.5625 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = 12.5625 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 12.5625 + 0.25 Combine like terms: 12.5625 + 0.25 = 12.8125 1.25 + x2 = 12.8125 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 12.8125 Calculate the square root of the right side: 3.579455266 Break this problem into two subproblems by setting (x + 0.5) equal to 3.579455266 and -3.579455266.Subproblem 1
x + 0.5 = 3.579455266 Simplifying x + 0.5 = 3.579455266 Reorder the terms: 0.5 + x = 3.579455266 Solving 0.5 + x = 3.579455266 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 3.579455266 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 3.579455266 + -0.5 x = 3.579455266 + -0.5 Combine like terms: 3.579455266 + -0.5 = 3.079455266 x = 3.079455266 Simplifying x = 3.079455266Subproblem 2
x + 0.5 = -3.579455266 Simplifying x + 0.5 = -3.579455266 Reorder the terms: 0.5 + x = -3.579455266 Solving 0.5 + x = -3.579455266 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -3.579455266 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -3.579455266 + -0.5 x = -3.579455266 + -0.5 Combine like terms: -3.579455266 + -0.5 = -4.079455266 x = -4.079455266 Simplifying x = -4.079455266Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.079455266, -4.079455266}
| z+104=180 | | 2h-6k=5(8k+4) | | p-0.9(40)=15 | | 0.7x-12=-13.73 | | p-0.9(30)=15 | | -1/2-4/3 | | -4+5y=-19 | | 45=36 | | 4f-3=17 | | x^3+4x^2-3x-7=0 | | 3x+30+3x-30+2x+4=360 | | -3f-6f=-26 | | .33x-4=.66(3x+-2) | | N+1=16+4n | | 7x-9=9x-3 | | I-0.6(30)=35 | | 2*v*9*m= | | 5t+20=15 | | 2y-4=x+7 | | 22y=14 | | I-0.6(29)=35 | | 2n+2=3n-3 | | 6y+4-6y=6 | | 4t-t=63 | | -4.55=12.2+v | | (.2)x=4.58 | | p-0.8(40)=18 | | 2/3/3/5 | | 6-4x=-15x+17 | | p-0.8(30)=18 | | x^2-4x-15=8 | | 6=26x |