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Simplifying
(-4x2 + x + 7) + -1(-2x2 + x + 2) = 0
Reorder the terms:
(7 + x + -4x2) + -1(-2x2 + x + 2) = 0
Remove parenthesis around (7 + x + -4x2)
7 + x + -4x2 + -1(-2x2 + x + 2) = 0
Reorder the terms:
7 + x + -4x2 + -1(2 + x + -2x2) = 0
7 + x + -4x2 + (2 * -1 + x * -1 + -2x2 * -1) = 0
7 + x + -4x2 + (-2 + -1x + 2x2) = 0
Reorder the terms:
7 + -2 + x + -1x + -4x2 + 2x2 = 0
Combine like terms: 7 + -2 = 5
5 + x + -1x + -4x2 + 2x2 = 0
Combine like terms: x + -1x = 0
5 + 0 + -4x2 + 2x2 = 0
5 + -4x2 + 2x2 = 0
Combine like terms: -4x2 + 2x2 = -2x2
5 + -2x2 = 0
Solving
5 + -2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -2x2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -2x2 = 0 + -5
-2x2 = 0 + -5
Combine like terms: 0 + -5 = -5
-2x2 = -5
Divide each side by '-2'.
x2 = 2.5
Simplifying
x2 = 2.5
Take the square root of each side:
x = {-1.58113883, 1.58113883}
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