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Simplifying
(-2x2 + 3x + -5) + -1(x2 + 3x + -5) = 0
Reorder the terms:
(-5 + 3x + -2x2) + -1(x2 + 3x + -5) = 0
Remove parenthesis around (-5 + 3x + -2x2)
-5 + 3x + -2x2 + -1(x2 + 3x + -5) = 0
Reorder the terms:
-5 + 3x + -2x2 + -1(-5 + 3x + x2) = 0
-5 + 3x + -2x2 + (-5 * -1 + 3x * -1 + x2 * -1) = 0
-5 + 3x + -2x2 + (5 + -3x + -1x2) = 0
Reorder the terms:
-5 + 5 + 3x + -3x + -2x2 + -1x2 = 0
Combine like terms: -5 + 5 = 0
0 + 3x + -3x + -2x2 + -1x2 = 0
3x + -3x + -2x2 + -1x2 = 0
Combine like terms: 3x + -3x = 0
0 + -2x2 + -1x2 = 0
-2x2 + -1x2 = 0
Combine like terms: -2x2 + -1x2 = -3x2
-3x2 = 0
Solving
-3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-3'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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