3x^2+10=7x^2-15

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Solution for 3x^2+10=7x^2-15 equation: 


Simplifying
3x2 + 10 = 7x2 + -15

Reorder the terms:
10 + 3x2 = 7x2 + -15

Reorder the terms:
10 + 3x2 = -15 + 7x2

Solving
10 + 3x2 = -15 + 7x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x2' to each side of the equation.
10 + 3x2 + -7x2 = -15 + 7x2 + -7x2

Combine like terms: 3x2 + -7x2 = -4x2
10 + -4x2 = -15 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
10 + -4x2 = -15 + 0
10 + -4x2 = -15

Add '-10' to each side of the equation.
10 + -10 + -4x2 = -15 + -10

Combine like terms: 10 + -10 = 0
0 + -4x2 = -15 + -10
-4x2 = -15 + -10

Combine like terms: -15 + -10 = -25
-4x2 = -25

Divide each side by '-4'.
x2 = 6.25

Simplifying
x2 = 6.25

Take the square root of each side:
x = {-2.5, 2.5}

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