If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (0.9r + -4)(1.2r + 3) = 0 Reorder the terms: (-4 + 0.9r)(1.2r + 3) = 0 Reorder the terms: (-4 + 0.9r)(3 + 1.2r) = 0 Multiply (-4 + 0.9r) * (3 + 1.2r) (-4(3 + 1.2r) + 0.9r * (3 + 1.2r)) = 0 ((3 * -4 + 1.2r * -4) + 0.9r * (3 + 1.2r)) = 0 ((-12 + -4.8r) + 0.9r * (3 + 1.2r)) = 0 (-12 + -4.8r + (3 * 0.9r + 1.2r * 0.9r)) = 0 (-12 + -4.8r + (2.7r + 1.08r2)) = 0 Combine like terms: -4.8r + 2.7r = -2.1r (-12 + -2.1r + 1.08r2) = 0 Solving -12 + -2.1r + 1.08r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 1.08 the coefficient of the squared term: Divide each side by '1.08'. -11.11111111 + -1.944444444r + r2 = 0 Move the constant term to the right: Add '11.11111111' to each side of the equation. -11.11111111 + -1.944444444r + 11.11111111 + r2 = 0 + 11.11111111 Reorder the terms: -11.11111111 + 11.11111111 + -1.944444444r + r2 = 0 + 11.11111111 Combine like terms: -11.11111111 + 11.11111111 = 0.00000000 0.00000000 + -1.944444444r + r2 = 0 + 11.11111111 -1.944444444r + r2 = 0 + 11.11111111 Combine like terms: 0 + 11.11111111 = 11.11111111 -1.944444444r + r2 = 11.11111111 The r term is -1.944444444r. Take half its coefficient (-0.972222222). Square it (0.9452160490) and add it to both sides. Add '0.9452160490' to each side of the equation. -1.944444444r + 0.9452160490 + r2 = 11.11111111 + 0.9452160490 Reorder the terms: 0.9452160490 + -1.944444444r + r2 = 11.11111111 + 0.9452160490 Combine like terms: 11.11111111 + 0.9452160490 = 12.056327159 0.9452160490 + -1.944444444r + r2 = 12.056327159 Factor a perfect square on the left side: (r + -0.972222222)(r + -0.972222222) = 12.056327159 Calculate the square root of the right side: 3.472222222 Break this problem into two subproblems by setting (r + -0.972222222) equal to 3.472222222 and -3.472222222.Subproblem 1
r + -0.972222222 = 3.472222222 Simplifying r + -0.972222222 = 3.472222222 Reorder the terms: -0.972222222 + r = 3.472222222 Solving -0.972222222 + r = 3.472222222 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.972222222' to each side of the equation. -0.972222222 + 0.972222222 + r = 3.472222222 + 0.972222222 Combine like terms: -0.972222222 + 0.972222222 = 0.000000000 0.000000000 + r = 3.472222222 + 0.972222222 r = 3.472222222 + 0.972222222 Combine like terms: 3.472222222 + 0.972222222 = 4.444444444 r = 4.444444444 Simplifying r = 4.444444444Subproblem 2
r + -0.972222222 = -3.472222222 Simplifying r + -0.972222222 = -3.472222222 Reorder the terms: -0.972222222 + r = -3.472222222 Solving -0.972222222 + r = -3.472222222 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.972222222' to each side of the equation. -0.972222222 + 0.972222222 + r = -3.472222222 + 0.972222222 Combine like terms: -0.972222222 + 0.972222222 = 0.000000000 0.000000000 + r = -3.472222222 + 0.972222222 r = -3.472222222 + 0.972222222 Combine like terms: -3.472222222 + 0.972222222 = -2.5 r = -2.5 Simplifying r = -2.5Solution
The solution to the problem is based on the solutions from the subproblems. r = {4.444444444, -2.5}
| 7x-29-21x=3-12+2x | | F-1.5=3.5 | | 14/8=y/20 | | 6(3.625)+5y=33 | | 10g-14=-72g+50 | | 6y+5=6y-9 | | 3y^3(3y+4)(y-5)= | | 3m-6=4m+7-m | | 9m-12=2m+8 | | (v-5)(v+7)= | | 6x+5(2x-5)=33 | | 7x-29-21x=3-(12+12x) | | 9-(5v+5)=-5v-4 | | -2f-8=-7f+27 | | 2x+11=29 | | 7w+4-w=8w-2(w-2) | | 4n-5=3n+8 | | 2x+15=33 | | (5x+3)(4y-1)= | | 4m-2=5m+5-m | | 5y+12=32 | | 17-19y=-3+16y | | (3a-3f)(3a+2f)= | | 8y+5=8y-5 | | 15r=8r-56 | | 11-(6v+7)=-6v-4 | | 3x+12=5t+6 | | 6+3t=3t-14 | | -8-6(x+3)=2x-6x+5 | | -10-5x=10-10 | | 3x+16=32 | | 8(x+2)=40 |