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Simplifying
4x2 + -5 = 6x2 + -7
Reorder the terms:
-5 + 4x2 = 6x2 + -7
Reorder the terms:
-5 + 4x2 = -7 + 6x2
Solving
-5 + 4x2 = -7 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
-5 + 4x2 + -6x2 = -7 + 6x2 + -6x2
Combine like terms: 4x2 + -6x2 = -2x2
-5 + -2x2 = -7 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-5 + -2x2 = -7 + 0
-5 + -2x2 = -7
Add '5' to each side of the equation.
-5 + 5 + -2x2 = -7 + 5
Combine like terms: -5 + 5 = 0
0 + -2x2 = -7 + 5
-2x2 = -7 + 5
Combine like terms: -7 + 5 = -2
-2x2 = -2
Divide each side by '-2'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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