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Simplifying
-3x2 + 9x + -10 = -1x(x + -9) + -18
Reorder the terms:
-10 + 9x + -3x2 = -1x(x + -9) + -18
Reorder the terms:
-10 + 9x + -3x2 = -1x(-9 + x) + -18
-10 + 9x + -3x2 = (-9 * -1x + x * -1x) + -18
-10 + 9x + -3x2 = (9x + -1x2) + -18
Reorder the terms:
-10 + 9x + -3x2 = -18 + 9x + -1x2
Add '-9x' to each side of the equation.
-10 + 9x + -9x + -3x2 = -18 + 9x + -9x + -1x2
Combine like terms: 9x + -9x = 0
-10 + 0 + -3x2 = -18 + 9x + -9x + -1x2
-10 + -3x2 = -18 + 9x + -9x + -1x2
Combine like terms: 9x + -9x = 0
-10 + -3x2 = -18 + 0 + -1x2
-10 + -3x2 = -18 + -1x2
Solving
-10 + -3x2 = -18 + -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
-10 + -3x2 + x2 = -18 + -1x2 + x2
Combine like terms: -3x2 + x2 = -2x2
-10 + -2x2 = -18 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
-10 + -2x2 = -18 + 0
-10 + -2x2 = -18
Add '10' to each side of the equation.
-10 + 10 + -2x2 = -18 + 10
Combine like terms: -10 + 10 = 0
0 + -2x2 = -18 + 10
-2x2 = -18 + 10
Combine like terms: -18 + 10 = -8
-2x2 = -8
Divide each side by '-2'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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