If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.75(8 + 4x) * 0.33(6x + 3) = 9 Reorder the terms: 0.75(8 + 4x) * 0.33(3 + 6x) = 9 Reorder the terms for easier multiplication: 0.75 * 0.33(8 + 4x)(3 + 6x) = 9 Multiply 0.75 * 0.33 0.2475(8 + 4x)(3 + 6x) = 9 Multiply (8 + 4x) * (3 + 6x) 0.2475(8(3 + 6x) + 4x * (3 + 6x)) = 9 0.2475((3 * 8 + 6x * 8) + 4x * (3 + 6x)) = 9 0.2475((24 + 48x) + 4x * (3 + 6x)) = 9 0.2475(24 + 48x + (3 * 4x + 6x * 4x)) = 9 0.2475(24 + 48x + (12x + 24x2)) = 9 Combine like terms: 48x + 12x = 60x 0.2475(24 + 60x + 24x2) = 9 (24 * 0.2475 + 60x * 0.2475 + 24x2 * 0.2475) = 9 (5.94 + 14.85x + 5.94x2) = 9 Solving 5.94 + 14.85x + 5.94x2 = 9 Solving for variable 'x'. Reorder the terms: 5.94 + -9 + 14.85x + 5.94x2 = 9 + -9 Combine like terms: 5.94 + -9 = -3.06 -3.06 + 14.85x + 5.94x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -3.06 + 14.85x + 5.94x2 = 0 Begin completing the square. Divide all terms by 5.94 the coefficient of the squared term: Divide each side by '5.94'. -0.5151515152 + 2.5x + x2 = 0 Move the constant term to the right: Add '0.5151515152' to each side of the equation. -0.5151515152 + 2.5x + 0.5151515152 + x2 = 0 + 0.5151515152 Reorder the terms: -0.5151515152 + 0.5151515152 + 2.5x + x2 = 0 + 0.5151515152 Combine like terms: -0.5151515152 + 0.5151515152 = 0.0000000000 0.0000000000 + 2.5x + x2 = 0 + 0.5151515152 2.5x + x2 = 0 + 0.5151515152 Combine like terms: 0 + 0.5151515152 = 0.5151515152 2.5x + x2 = 0.5151515152 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 0.5151515152 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 0.5151515152 + 1.5625 Combine like terms: 0.5151515152 + 1.5625 = 2.0776515152 1.5625 + 2.5x + x2 = 2.0776515152 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 2.0776515152 Calculate the square root of the right side: 1.44140609 Break this problem into two subproblems by setting (x + 1.25) equal to 1.44140609 and -1.44140609.Subproblem 1
x + 1.25 = 1.44140609 Simplifying x + 1.25 = 1.44140609 Reorder the terms: 1.25 + x = 1.44140609 Solving 1.25 + x = 1.44140609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 1.44140609 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 1.44140609 + -1.25 x = 1.44140609 + -1.25 Combine like terms: 1.44140609 + -1.25 = 0.19140609 x = 0.19140609 Simplifying x = 0.19140609Subproblem 2
x + 1.25 = -1.44140609 Simplifying x + 1.25 = -1.44140609 Reorder the terms: 1.25 + x = -1.44140609 Solving 1.25 + x = -1.44140609 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -1.44140609 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -1.44140609 + -1.25 x = -1.44140609 + -1.25 Combine like terms: -1.44140609 + -1.25 = -2.69140609 x = -2.69140609 Simplifying x = -2.69140609Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.19140609, -2.69140609}
| cos^2x-6cosx+5=0 | | 5x^3-12x^2+4x+20=0 | | y=2(-10)-14 | | 6x+3=4x+6 | | 4*3/78 | | -3(18n+16)-13n=-9(10n-10) | | -12=p-8+p | | G=4x+3y | | 9x-2(5x-1)=0 | | -1÷3/4 | | X/3-4=14 | | 10-3x=42 | | 6x+4x=7-8x | | 12+r=3+2r | | 6n-12=2n+3 | | 2x+3-4x=3x | | 70=-2a-8a | | -8=-9+8x | | 20+4(-19q+20)=4(-14q-20) | | x^3-8x^2-11x+20=0 | | -3(-7v+3)-9v=4(v-1)-9 | | 1/4x-6=-3/4x-13/3 | | -10-19z=19z+2(-20z-16) | | -7+5v=-42 | | 16=38t-22t | | 5/9(F-32)=52° | | -3(y-5)-2y=y-1 | | F(x)=7/4x | | 40+0.20m=20+0.60m | | 12+4c-20=-8(-2c-13)-16 | | 51=2W+7.9L | | 3(1+a)+3a=7a+2 |