If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + -5)(-2x + 5) + 30 = 18x + -45 Reorder the terms: (-5 + 3x)(-2x + 5) + 30 = 18x + -45 Reorder the terms: (-5 + 3x)(5 + -2x) + 30 = 18x + -45 Multiply (-5 + 3x) * (5 + -2x) (-5(5 + -2x) + 3x * (5 + -2x)) + 30 = 18x + -45 ((5 * -5 + -2x * -5) + 3x * (5 + -2x)) + 30 = 18x + -45 ((-25 + 10x) + 3x * (5 + -2x)) + 30 = 18x + -45 (-25 + 10x + (5 * 3x + -2x * 3x)) + 30 = 18x + -45 (-25 + 10x + (15x + -6x2)) + 30 = 18x + -45 Combine like terms: 10x + 15x = 25x (-25 + 25x + -6x2) + 30 = 18x + -45 Reorder the terms: -25 + 30 + 25x + -6x2 = 18x + -45 Combine like terms: -25 + 30 = 5 5 + 25x + -6x2 = 18x + -45 Reorder the terms: 5 + 25x + -6x2 = -45 + 18x Solving 5 + 25x + -6x2 = -45 + 18x Solving for variable 'x'. Reorder the terms: 5 + 45 + 25x + -18x + -6x2 = -45 + 18x + 45 + -18x Combine like terms: 5 + 45 = 50 50 + 25x + -18x + -6x2 = -45 + 18x + 45 + -18x Combine like terms: 25x + -18x = 7x 50 + 7x + -6x2 = -45 + 18x + 45 + -18x Reorder the terms: 50 + 7x + -6x2 = -45 + 45 + 18x + -18x Combine like terms: -45 + 45 = 0 50 + 7x + -6x2 = 0 + 18x + -18x 50 + 7x + -6x2 = 18x + -18x Combine like terms: 18x + -18x = 0 50 + 7x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. -8.333333333 + -1.166666667x + x2 = 0 Move the constant term to the right: Add '8.333333333' to each side of the equation. -8.333333333 + -1.166666667x + 8.333333333 + x2 = 0 + 8.333333333 Reorder the terms: -8.333333333 + 8.333333333 + -1.166666667x + x2 = 0 + 8.333333333 Combine like terms: -8.333333333 + 8.333333333 = 0.000000000 0.000000000 + -1.166666667x + x2 = 0 + 8.333333333 -1.166666667x + x2 = 0 + 8.333333333 Combine like terms: 0 + 8.333333333 = 8.333333333 -1.166666667x + x2 = 8.333333333 The x term is -1.166666667x. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667x + 0.3402777780 + x2 = 8.333333333 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667x + x2 = 8.333333333 + 0.3402777780 Combine like terms: 8.333333333 + 0.3402777780 = 8.673611111 0.3402777780 + -1.166666667x + x2 = 8.673611111 Factor a perfect square on the left side: (x + -0.5833333335)(x + -0.5833333335) = 8.673611111 Calculate the square root of the right side: 2.945099508 Break this problem into two subproblems by setting (x + -0.5833333335) equal to 2.945099508 and -2.945099508.Subproblem 1
x + -0.5833333335 = 2.945099508 Simplifying x + -0.5833333335 = 2.945099508 Reorder the terms: -0.5833333335 + x = 2.945099508 Solving -0.5833333335 + x = 2.945099508 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5833333335' to each side of the equation. -0.5833333335 + 0.5833333335 + x = 2.945099508 + 0.5833333335 Combine like terms: -0.5833333335 + 0.5833333335 = 0.0000000000 0.0000000000 + x = 2.945099508 + 0.5833333335 x = 2.945099508 + 0.5833333335 Combine like terms: 2.945099508 + 0.5833333335 = 3.5284328415 x = 3.5284328415 Simplifying x = 3.5284328415Subproblem 2
x + -0.5833333335 = -2.945099508 Simplifying x + -0.5833333335 = -2.945099508 Reorder the terms: -0.5833333335 + x = -2.945099508 Solving -0.5833333335 + x = -2.945099508 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5833333335' to each side of the equation. -0.5833333335 + 0.5833333335 + x = -2.945099508 + 0.5833333335 Combine like terms: -0.5833333335 + 0.5833333335 = 0.0000000000 0.0000000000 + x = -2.945099508 + 0.5833333335 x = -2.945099508 + 0.5833333335 Combine like terms: -2.945099508 + 0.5833333335 = -2.3617661745 x = -2.3617661745 Simplifying x = -2.3617661745Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.5284328415, -2.3617661745}
| r=cn+wn | | 12y+22=11y-3 | | 2*ln(5x+4)=22 | | -3/14-(-19/21) | | -(4x-5y+1)= | | (-3/14)-(-19/21) | | 3z+3=z-4 | | 4(v-6)=-6v | | 5=-7.5 | | 3(d-8)+12= | | 3(b-7)=2(3b+7) | | -2(z+6)= | | 81-2*n=4*n+9 | | 21=14+x | | (81-2)xN=4xN+9 | | 0.1x-0.75(5-x)=4.7 | | 8(y+7)= | | 81-2xn=4xn+9 | | 4Q-(Q^2/200) | | 2x+9=3x+6+x | | (-7+7i)+(8-3i)=0 | | 5(b-3)=2(5b+3) | | 6Q-(Q^2/200) | | 44(23)1/5 | | 7n=7n | | 5x+0=95 | | x^2+176=27x | | y^-7/y^-8 | | Q^2/200 | | -2(7x-5)=-14x-10 | | -15=y/3 | | 2/-5×-9/3(-8) |