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Simplifying 90x2 + 75x + 10 = 0 Reorder the terms: 10 + 75x + 90x2 = 0 Solving 10 + 75x + 90x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(2 + 15x + 18x2) = 0 Factor a trinomial. 5((2 + 3x)(1 + 6x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667Solution
x = {-0.6666666667, -0.1666666667}
| 19-8+x=8+7-4 | | -9-8x=-7x | | 7x+5=9x-6 | | 8m=-19+43 | | 1/2(4w-18)=12 | | 4x-3(-2x)=9-14 | | 6p+5=4p-5 | | 8x-2y-3-2x= | | l=23+1.5(9.5) | | l=23+1.5(10) | | l=23+1.5(9) | | .5(x+60)+.9x=79 | | l=23+1.5(8) | | l=23+1.5(7) | | l=23+1.5(6) | | l=23+1.5(5) | | (x+5)3-1=x(x+3)(x+12)-8 | | 3(x-10)+2x=-65 | | .27(6)+.03x=.09(24+x) | | l=23+1.5(4) | | (t+5)-3=6t-13 | | y-2(9-2y)-1= | | l=23+1.5(3) | | 5+2p-3=8p+3-5p | | l=23+1.5(0) | | 411x+11=81 | | 2a+4a=24 | | 9-5x=6-6 | | 411x+11=8 | | -24x-12=42-33 | | x(2x-2)+x(2x-6)=(4x+7)(x-2) | | l=23+1.5t |