If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4.2x(x + 3) = 5(3 + x) Reorder the terms: 4.2x(3 + x) = 5(3 + x) (3 * 4.2x + x * 4.2x) = 5(3 + x) (12.6x + 4.2x2) = 5(3 + x) 12.6x + 4.2x2 = (3 * 5 + x * 5) 12.6x + 4.2x2 = (15 + 5x) Solving 12.6x + 4.2x2 = 15 + 5x Solving for variable 'x'. Reorder the terms: -15 + 12.6x + -5x + 4.2x2 = 15 + 5x + -15 + -5x Combine like terms: 12.6x + -5x = 7.6x -15 + 7.6x + 4.2x2 = 15 + 5x + -15 + -5x Reorder the terms: -15 + 7.6x + 4.2x2 = 15 + -15 + 5x + -5x Combine like terms: 15 + -15 = 0 -15 + 7.6x + 4.2x2 = 0 + 5x + -5x -15 + 7.6x + 4.2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 7.6x + 4.2x2 = 0 Begin completing the square. Divide all terms by 4.2 the coefficient of the squared term: Divide each side by '4.2'. -3.571428571 + 1.80952381x + x2 = 0 Move the constant term to the right: Add '3.571428571' to each side of the equation. -3.571428571 + 1.80952381x + 3.571428571 + x2 = 0 + 3.571428571 Reorder the terms: -3.571428571 + 3.571428571 + 1.80952381x + x2 = 0 + 3.571428571 Combine like terms: -3.571428571 + 3.571428571 = 0.000000000 0.000000000 + 1.80952381x + x2 = 0 + 3.571428571 1.80952381x + x2 = 0 + 3.571428571 Combine like terms: 0 + 3.571428571 = 3.571428571 1.80952381x + x2 = 3.571428571 The x term is 1.80952381x. Take half its coefficient (0.904761905). Square it (0.8185941047) and add it to both sides. Add '0.8185941047' to each side of the equation. 1.80952381x + 0.8185941047 + x2 = 3.571428571 + 0.8185941047 Reorder the terms: 0.8185941047 + 1.80952381x + x2 = 3.571428571 + 0.8185941047 Combine like terms: 3.571428571 + 0.8185941047 = 4.3900226757 0.8185941047 + 1.80952381x + x2 = 4.3900226757 Factor a perfect square on the left side: (x + 0.904761905)(x + 0.904761905) = 4.3900226757 Calculate the square root of the right side: 2.095238095 Break this problem into two subproblems by setting (x + 0.904761905) equal to 2.095238095 and -2.095238095.Subproblem 1
x + 0.904761905 = 2.095238095 Simplifying x + 0.904761905 = 2.095238095 Reorder the terms: 0.904761905 + x = 2.095238095 Solving 0.904761905 + x = 2.095238095 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.904761905' to each side of the equation. 0.904761905 + -0.904761905 + x = 2.095238095 + -0.904761905 Combine like terms: 0.904761905 + -0.904761905 = 0.000000000 0.000000000 + x = 2.095238095 + -0.904761905 x = 2.095238095 + -0.904761905 Combine like terms: 2.095238095 + -0.904761905 = 1.19047619 x = 1.19047619 Simplifying x = 1.19047619Subproblem 2
x + 0.904761905 = -2.095238095 Simplifying x + 0.904761905 = -2.095238095 Reorder the terms: 0.904761905 + x = -2.095238095 Solving 0.904761905 + x = -2.095238095 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.904761905' to each side of the equation. 0.904761905 + -0.904761905 + x = -2.095238095 + -0.904761905 Combine like terms: 0.904761905 + -0.904761905 = 0.000000000 0.000000000 + x = -2.095238095 + -0.904761905 x = -2.095238095 + -0.904761905 Combine like terms: -2.095238095 + -0.904761905 = -3 x = -3 Simplifying x = -3Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.19047619, -3}
| 25+-30x^2+9x^3=0 | | 9x^3+25=30x^2 | | a^2-20a-55=-3 | | h=-16t^2+48t+10 | | X-2+8=16 | | 3m+17-m=10-m-2 | | 5y^2+9y=0 | | m^2-14m-51=0 | | 8t^2-24t-5=0 | | 4.2x^2(x+3)=5(3+x) | | w+1=-2 | | x+(x+4)+(2x+8)=180 | | 5(3x-3)+2(15-5x)-2(2x+4)=-7 | | v^2+2v+46=7 | | 4x-12+7=2x+-2+2x | | 2w+22=30 | | g+3=2g-5 | | x^2-6x+61=-9 | | y=44x+2200 | | 3xz+x=9xz+5 | | g(x)=5x^2+8x-11 | | 7-(1.2x)=4 | | 7-1.2x=4 | | 2+4a-6=40 | | 32+(18z+3)=180 | | 0.1(x+100)+0.1x=11 | | 19c^2-19d^2= | | -3(7p+6)-2(4-17p)-3(1+4p)=0 | | -6b-6b=-36 | | .49-x^2=0 | | 6t+8=14t | | 0.8x+5.3=1.7 |