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Simplifying
(x2 + -9x) + -1(5x2 + -7x) = 4x2 + -2x
Reorder the terms:
(-9x + x2) + -1(5x2 + -7x) = 4x2 + -2x
Remove parenthesis around (-9x + x2)
-9x + x2 + -1(5x2 + -7x) = 4x2 + -2x
Reorder the terms:
-9x + x2 + -1(-7x + 5x2) = 4x2 + -2x
-9x + x2 + (-7x * -1 + 5x2 * -1) = 4x2 + -2x
-9x + x2 + (7x + -5x2) = 4x2 + -2x
Reorder the terms:
-9x + 7x + x2 + -5x2 = 4x2 + -2x
Combine like terms: -9x + 7x = -2x
-2x + x2 + -5x2 = 4x2 + -2x
Combine like terms: x2 + -5x2 = -4x2
-2x + -4x2 = 4x2 + -2x
Reorder the terms:
-2x + -4x2 = -2x + 4x2
Add '2x' to each side of the equation.
-2x + 2x + -4x2 = -2x + 2x + 4x2
Combine like terms: -2x + 2x = 0
0 + -4x2 = -2x + 2x + 4x2
-4x2 = -2x + 2x + 4x2
Combine like terms: -2x + 2x = 0
-4x2 = 0 + 4x2
-4x2 = 4x2
Solving
-4x2 = 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-4x2 + -4x2 = 4x2 + -4x2
Combine like terms: -4x2 + -4x2 = -8x2
-8x2 = 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-8x2 = 0
Divide each side by '-8'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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