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Simplifying
6x(3x + -5) = 49 + -1(15 + 9x) * 2x
Reorder the terms:
6x(-5 + 3x) = 49 + -1(15 + 9x) * 2x
(-5 * 6x + 3x * 6x) = 49 + -1(15 + 9x) * 2x
(-30x + 18x2) = 49 + -1(15 + 9x) * 2x
Reorder the terms for easier multiplication:
-30x + 18x2 = 49 + -1 * 2x(15 + 9x)
Multiply -1 * 2
-30x + 18x2 = 49 + -2x(15 + 9x)
-30x + 18x2 = 49 + (15 * -2x + 9x * -2x)
-30x + 18x2 = 49 + (-30x + -18x2)
Add '30x' to each side of the equation.
-30x + 30x + 18x2 = 49 + -30x + 30x + -18x2
Combine like terms: -30x + 30x = 0
0 + 18x2 = 49 + -30x + 30x + -18x2
18x2 = 49 + -30x + 30x + -18x2
Combine like terms: -30x + 30x = 0
18x2 = 49 + 0 + -18x2
18x2 = 49 + -18x2
Solving
18x2 = 49 + -18x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '18x2' to each side of the equation.
18x2 + 18x2 = 49 + -18x2 + 18x2
Combine like terms: 18x2 + 18x2 = 36x2
36x2 = 49 + -18x2 + 18x2
Combine like terms: -18x2 + 18x2 = 0
36x2 = 49 + 0
36x2 = 49
Divide each side by '36'.
x2 = 1.361111111
Simplifying
x2 = 1.361111111
Take the square root of each side:
x = {-1.166666667, 1.166666667}
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