If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (6x + 5)(9x + -10) = 90 Reorder the terms: (5 + 6x)(9x + -10) = 90 Reorder the terms: (5 + 6x)(-10 + 9x) = 90 Multiply (5 + 6x) * (-10 + 9x) (5(-10 + 9x) + 6x * (-10 + 9x)) = 90 ((-10 * 5 + 9x * 5) + 6x * (-10 + 9x)) = 90 ((-50 + 45x) + 6x * (-10 + 9x)) = 90 (-50 + 45x + (-10 * 6x + 9x * 6x)) = 90 (-50 + 45x + (-60x + 54x2)) = 90 Combine like terms: 45x + -60x = -15x (-50 + -15x + 54x2) = 90 Solving -50 + -15x + 54x2 = 90 Solving for variable 'x'. Reorder the terms: -50 + -90 + -15x + 54x2 = 90 + -90 Combine like terms: -50 + -90 = -140 -140 + -15x + 54x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -140 + -15x + 54x2 = 0 Begin completing the square. Divide all terms by 54 the coefficient of the squared term: Divide each side by '54'. -2.592592593 + -0.2777777778x + x2 = 0 Move the constant term to the right: Add '2.592592593' to each side of the equation. -2.592592593 + -0.2777777778x + 2.592592593 + x2 = 0 + 2.592592593 Reorder the terms: -2.592592593 + 2.592592593 + -0.2777777778x + x2 = 0 + 2.592592593 Combine like terms: -2.592592593 + 2.592592593 = 0.000000000 0.000000000 + -0.2777777778x + x2 = 0 + 2.592592593 -0.2777777778x + x2 = 0 + 2.592592593 Combine like terms: 0 + 2.592592593 = 2.592592593 -0.2777777778x + x2 = 2.592592593 The x term is -0.2777777778x. Take half its coefficient (-0.1388888889). Square it (0.01929012346) and add it to both sides. Add '0.01929012346' to each side of the equation. -0.2777777778x + 0.01929012346 + x2 = 2.592592593 + 0.01929012346 Reorder the terms: 0.01929012346 + -0.2777777778x + x2 = 2.592592593 + 0.01929012346 Combine like terms: 2.592592593 + 0.01929012346 = 2.61188271646 0.01929012346 + -0.2777777778x + x2 = 2.61188271646 Factor a perfect square on the left side: (x + -0.1388888889)(x + -0.1388888889) = 2.61188271646 Calculate the square root of the right side: 1.616132023 Break this problem into two subproblems by setting (x + -0.1388888889) equal to 1.616132023 and -1.616132023.Subproblem 1
x + -0.1388888889 = 1.616132023 Simplifying x + -0.1388888889 = 1.616132023 Reorder the terms: -0.1388888889 + x = 1.616132023 Solving -0.1388888889 + x = 1.616132023 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1388888889' to each side of the equation. -0.1388888889 + 0.1388888889 + x = 1.616132023 + 0.1388888889 Combine like terms: -0.1388888889 + 0.1388888889 = 0.0000000000 0.0000000000 + x = 1.616132023 + 0.1388888889 x = 1.616132023 + 0.1388888889 Combine like terms: 1.616132023 + 0.1388888889 = 1.7550209119 x = 1.7550209119 Simplifying x = 1.7550209119Subproblem 2
x + -0.1388888889 = -1.616132023 Simplifying x + -0.1388888889 = -1.616132023 Reorder the terms: -0.1388888889 + x = -1.616132023 Solving -0.1388888889 + x = -1.616132023 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1388888889' to each side of the equation. -0.1388888889 + 0.1388888889 + x = -1.616132023 + 0.1388888889 Combine like terms: -0.1388888889 + 0.1388888889 = 0.0000000000 0.0000000000 + x = -1.616132023 + 0.1388888889 x = -1.616132023 + 0.1388888889 Combine like terms: -1.616132023 + 0.1388888889 = -1.4772431341 x = -1.4772431341 Simplifying x = -1.4772431341Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.7550209119, -1.4772431341}
| F(x)=x^2-7-30 | | 2x+12=2x+42 | | f(x)=(2x+5) | | 7(4X-2)=238 | | 3(4x-7)+5=12x-16 | | ((3x^3y^5z^8)/(8x^5y^6z^8))/((5xy^6z^4)/(9x^8y^2)) | | 1x/10=15 | | X^2-14x+8y+33=0 | | 4s=s+27 | | 6y=y+60 | | a+24=5a | | f(x)=(2x-1) | | 3q=40+q | | 7x/21x^3 | | 2.5d+9.25=1+3.75d | | Y=600+.67(Y-300) | | f(x)=x(x+2)(x-2) | | z=y-xm | | 2s=2+4 | | 2s=s+24 | | 8-4x+15=3x+9 | | -4x+-1y= | | -36-26+x=-46 | | x*-2=-6 | | f(-2pi)=cot(-2pi) | | f(x)=x(5x-2) | | 8(4a-1)-12a=11(2a-6) | | v+28=2v | | 4+1.4w=6 | | 9(x-4)+26=8x-5 | | 1/2×-3=5 | | (-8)+n=62 |