If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4f + 5)(5f + 40) = 180 Reorder the terms: (5 + 4f)(5f + 40) = 180 Reorder the terms: (5 + 4f)(40 + 5f) = 180 Multiply (5 + 4f) * (40 + 5f) (5(40 + 5f) + 4f * (40 + 5f)) = 180 ((40 * 5 + 5f * 5) + 4f * (40 + 5f)) = 180 ((200 + 25f) + 4f * (40 + 5f)) = 180 (200 + 25f + (40 * 4f + 5f * 4f)) = 180 (200 + 25f + (160f + 20f2)) = 180 Combine like terms: 25f + 160f = 185f (200 + 185f + 20f2) = 180 Solving 200 + 185f + 20f2 = 180 Solving for variable 'f'. Reorder the terms: 200 + -180 + 185f + 20f2 = 180 + -180 Combine like terms: 200 + -180 = 20 20 + 185f + 20f2 = 180 + -180 Combine like terms: 180 + -180 = 0 20 + 185f + 20f2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(4 + 37f + 4f2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + 37f + 4f2)' equal to zero and attempt to solve: Simplifying 4 + 37f + 4f2 = 0 Solving 4 + 37f + 4f2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + 9.25f + f2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 9.25f + -1 + f2 = 0 + -1 Reorder the terms: 1 + -1 + 9.25f + f2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9.25f + f2 = 0 + -1 9.25f + f2 = 0 + -1 Combine like terms: 0 + -1 = -1 9.25f + f2 = -1 The f term is 9.25f. Take half its coefficient (4.625). Square it (21.390625) and add it to both sides. Add '21.390625' to each side of the equation. 9.25f + 21.390625 + f2 = -1 + 21.390625 Reorder the terms: 21.390625 + 9.25f + f2 = -1 + 21.390625 Combine like terms: -1 + 21.390625 = 20.390625 21.390625 + 9.25f + f2 = 20.390625 Factor a perfect square on the left side: (f + 4.625)(f + 4.625) = 20.390625 Calculate the square root of the right side: 4.515597967 Break this problem into two subproblems by setting (f + 4.625) equal to 4.515597967 and -4.515597967.Subproblem 1
f + 4.625 = 4.515597967 Simplifying f + 4.625 = 4.515597967 Reorder the terms: 4.625 + f = 4.515597967 Solving 4.625 + f = 4.515597967 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4.625' to each side of the equation. 4.625 + -4.625 + f = 4.515597967 + -4.625 Combine like terms: 4.625 + -4.625 = 0.000 0.000 + f = 4.515597967 + -4.625 f = 4.515597967 + -4.625 Combine like terms: 4.515597967 + -4.625 = -0.109402033 f = -0.109402033 Simplifying f = -0.109402033Subproblem 2
f + 4.625 = -4.515597967 Simplifying f + 4.625 = -4.515597967 Reorder the terms: 4.625 + f = -4.515597967 Solving 4.625 + f = -4.515597967 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4.625' to each side of the equation. 4.625 + -4.625 + f = -4.515597967 + -4.625 Combine like terms: 4.625 + -4.625 = 0.000 0.000 + f = -4.515597967 + -4.625 f = -4.515597967 + -4.625 Combine like terms: -4.515597967 + -4.625 = -9.140597967 f = -9.140597967 Simplifying f = -9.140597967Solution
The solution to the problem is based on the solutions from the subproblems. f = {-0.109402033, -9.140597967}Solution
f = {-0.109402033, -9.140597967}
| f(11)=4x-7 | | 5x+13=7x+11 | | (4×3)3/4 | | 2/5x-1/3=2 | | 2ax^2-a^4+2a^3-1=0 | | d=ab+c | | -2x^2+(3a+3b)x-(a^2+2ab+b^2)=0 | | 550X^2-5390x=0 | | a^2x^2-2abx+a^2+b^2=0 | | 2x^2+23x-39=0 | | (3r^2+7r+1)+(4r^2-8-2)= | | K^2+2k+24=0 | | -3w^2-11w-10=0 | | -2.5x^2+25x-60=0 | | 12x-4x+132=12x+68 | | 32+12X-4X^2= | | (5b^3•4a^3)/(6a^5b•b) | | (3xy+x^2)dx+(y^2+xy)dy=0 | | x+3(x-1)=9-2(x+3) | | ax-ay-bx+by= | | 4p^2-q^2= | | x^2-4x+10=-x-5 | | 21+14=7+8-10 | | -2(2x-7)=3(4x-2) | | 4x+(-4)=-36 | | y=-6x+120 | | 6.5x-2.9=23.1 | | Log(6)*216=2x+9 | | c+2-5-5c=7 | | x-15=(15-21) | | -7(t-2)-(t+3)=4 | | (11p-4q^2-q)-(q^2-4p+7p^2)= |