$$ \begin{aligned} (5x-6)(5x+6)+(2x+2)^2-29x^2 &= 0&& \text{simplify left side} \\[1 em](5x-6)(5x+6)+4x^2+8x+4-29x^2 &= 0&& \\[1 em]25x^2+30x-30x-36+4x^2+8x+4-29x^2 &= 0&& \\[1 em]25x^2-36+4x^2+8x+4-29x^2 &= 0&& \\[1 em]29x^2+8x-32-29x^2 &= 0&& \\[1 em]29x^2+8x-32-29x^2 &= 0&& \\[1 em]8x-32 &= 0&& \text{ move the constants to the right } \\[1 em]8x &= 32&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{32}{8}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$

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